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Finding the Third Proportional to 164,681,074 and 242,231,595

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Solution

The third proportional to 164,681,074 and 242,231,595 is: 356,301,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,681,074 : 242,231,595 = 242,231,595 : x
  2. Step 2: Convert to fraction form
    164,681,074/242,231,595 = 242,231,595/x
  3. Step 3: Cross multiply
    164,681,074x = 242,231,595 × 242,231,595
  4. Step 4: Simplify right side
    164,681,074x = 58,676,145,616,244,024
  5. Step 5: Solve for x
    x = 58,676,145,616,244,024/164,681,074
  6. Step 6: Final answer
    x = 356,301,693.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.