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Finding the Third Proportional to 65,925,894.38 and 96,983,281.13

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Solution

The third proportional to 65,925,894.38 and 96,983,281.13 is: 142,671,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925,894.38 : 96,983,281.13 = 96,983,281.13 : x
  2. Step 2: Convert to fraction form
    65,925,894.38/96,983,281.13 = 96,983,281.13/x
  3. Step 3: Cross multiply
    65,925,894.38x = 96,983,281.13 × 96,983,281.13
  4. Step 4: Simplify right side
    65,925,894.38x = 9,405,756,817,770,782
  5. Step 5: Solve for x
    x = 9,405,756,817,770,782/65,925,894.38
  6. Step 6: Final answer
    x = 142,671,660.46

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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.