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Finding the Third Proportional to 96,924,731 and 145,458,053

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Solution

The third proportional to 96,924,731 and 145,458,053 is: 218,293,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,924,731 : 145,458,053 = 145,458,053 : x
  2. Step 2: Convert to fraction form
    96,924,731/145,458,053 = 145,458,053/x
  3. Step 3: Cross multiply
    96,924,731x = 145,458,053 × 145,458,053
  4. Step 4: Simplify right side
    96,924,731x = 21,158,045,182,550,808
  5. Step 5: Solve for x
    x = 21,158,045,182,550,808/96,924,731
  6. Step 6: Final answer
    x = 218,293,566.20

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Why These Related Problems?

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