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Finding the Third Proportional to 64,747,134,461 and 97,120,695,158

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Solution

The third proportional to 64,747,134,461 and 97,120,695,158 is: 145,681,032,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,747,134,461 : 97,120,695,158 = 97,120,695,158 : x
  2. Step 2: Convert to fraction form
    64,747,134,461/97,120,695,158 = 97,120,695,158/x
  3. Step 3: Cross multiply
    64,747,134,461x = 97,120,695,158 × 97,120,695,158
  4. Step 4: Simplify right side
    64,747,134,461x = 9,432,429,427,973,165,154,304
  5. Step 5: Solve for x
    x = 9,432,429,427,973,165,154,304/64,747,134,461
  6. Step 6: Final answer
    x = 145,681,032,936.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.