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Finding the Third Proportional to 61,654,239 and 96,010,366.50

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Solution

The third proportional to 61,654,239 and 96,010,366.50 is: 149,511,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,654,239 : 96,010,366.50 = 96,010,366.50 : x
  2. Step 2: Convert to fraction form
    61,654,239/96,010,366.50 = 96,010,366.50/x
  3. Step 3: Cross multiply
    61,654,239x = 96,010,366.50 × 96,010,366.50
  4. Step 4: Simplify right side
    61,654,239x = 9,217,990,475,464,322
  5. Step 5: Solve for x
    x = 9,217,990,475,464,322/61,654,239
  6. Step 6: Final answer
    x = 149,511,057.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.