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Finding the Third Proportional to 175,975,209 and 266,227,751

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Solution

The third proportional to 175,975,209 and 266,227,751 is: 402,768,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,975,209 : 266,227,751 = 266,227,751 : x
  2. Step 2: Convert to fraction form
    175,975,209/266,227,751 = 266,227,751/x
  3. Step 3: Cross multiply
    175,975,209x = 266,227,751 × 266,227,751
  4. Step 4: Simplify right side
    175,975,209x = 70,877,215,402,518,000
  5. Step 5: Solve for x
    x = 70,877,215,402,518,000/175,975,209
  6. Step 6: Final answer
    x = 402,768,184.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.