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Finding the Third Proportional to 65,925,295.50 and 96,982,701.75

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Solution

The third proportional to 65,925,295.50 and 96,982,701.75 is: 142,671,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925,295.50 : 96,982,701.75 = 96,982,701.75 : x
  2. Step 2: Convert to fraction form
    65,925,295.50/96,982,701.75 = 96,982,701.75/x
  3. Step 3: Cross multiply
    65,925,295.50x = 96,982,701.75 × 96,982,701.75
  4. Step 4: Simplify right side
    65,925,295.50x = 9,405,644,438,729,454
  5. Step 5: Solve for x
    x = 9,405,644,438,729,454/65,925,295.50
  6. Step 6: Final answer
    x = 142,671,251.87

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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.