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Finding the Third Proportional to 99,701,952 and 207,329,592

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Solution

The third proportional to 99,701,952 and 207,329,592 is: 431,140,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,701,952 : 207,329,592 = 207,329,592 : x
  2. Step 2: Convert to fraction form
    99,701,952/207,329,592 = 207,329,592/x
  3. Step 3: Cross multiply
    99,701,952x = 207,329,592 × 207,329,592
  4. Step 4: Simplify right side
    99,701,952x = 42,985,559,718,886,464
  5. Step 5: Solve for x
    x = 42,985,559,718,886,464/99,701,952
  6. Step 6: Final answer
    x = 431,140,603.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.