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Finding the Third Proportional to 97,205,715 and 136,732,023

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Solution

The third proportional to 97,205,715 and 136,732,023 is: 192,330,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205,715 : 136,732,023 = 136,732,023 : x
  2. Step 2: Convert to fraction form
    97,205,715/136,732,023 = 136,732,023/x
  3. Step 3: Cross multiply
    97,205,715x = 136,732,023 × 136,732,023
  4. Step 4: Simplify right side
    97,205,715x = 18,695,646,113,672,528
  5. Step 5: Solve for x
    x = 18,695,646,113,672,528/97,205,715
  6. Step 6: Final answer
    x = 192,330,729.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.