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Finding the Third Proportional to 82,988,824 and 133,340,423

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Solution

The third proportional to 82,988,824 and 133,340,423 is: 214,241,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,988,824 : 133,340,423 = 133,340,423 : x
  2. Step 2: Convert to fraction form
    82,988,824/133,340,423 = 133,340,423/x
  3. Step 3: Cross multiply
    82,988,824x = 133,340,423 × 133,340,423
  4. Step 4: Simplify right side
    82,988,824x = 17,779,668,405,818,928
  5. Step 5: Solve for x
    x = 17,779,668,405,818,928/82,988,824
  6. Step 6: Final answer
    x = 214,241,720.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.