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Finding the Third Proportional to 69,281,403.47 and 96,859,484.86

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Solution

The third proportional to 69,281,403.47 and 96,859,484.86 is: 135,415,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281,403.47 : 96,859,484.86 = 96,859,484.86 : x
  2. Step 2: Convert to fraction form
    69,281,403.47/96,859,484.86 = 96,859,484.86/x
  3. Step 3: Cross multiply
    69,281,403.47x = 96,859,484.86 × 96,859,484.86
  4. Step 4: Simplify right side
    69,281,403.47x = 9,381,759,807,223,494
  5. Step 5: Solve for x
    x = 9,381,759,807,223,494/69,281,403.47
  6. Step 6: Final answer
    x = 135,415,267.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.