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Finding the Third Proportional to 272,302,516,132.50 and 406,952,966,767.50

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Solution

The third proportional to 272,302,516,132.50 and 406,952,966,767.50 is: 608,186,510,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,302,516,132.50 : 406,952,966,767.50 = 406,952,966,767.50 : x
  2. Step 2: Convert to fraction form
    272,302,516,132.50/406,952,966,767.50 = 406,952,966,767.50/x
  3. Step 3: Cross multiply
    272,302,516,132.50x = 406,952,966,767.50 × 406,952,966,767.50
  4. Step 4: Simplify right side
    272,302,516,132.50x = 165,610,717,160,869,956,943,872
  5. Step 5: Solve for x
    x = 165,610,717,160,869,956,943,872/272,302,516,132.50
  6. Step 6: Final answer
    x = 608,186,510,771.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.