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Finding the Third Proportional to 65,050,864.59 and 89,202,330.84

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Solution

The third proportional to 65,050,864.59 and 89,202,330.84 is: 122,320,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,050,864.59 : 89,202,330.84 = 89,202,330.84 : x
  2. Step 2: Convert to fraction form
    65,050,864.59/89,202,330.84 = 89,202,330.84/x
  3. Step 3: Cross multiply
    65,050,864.59x = 89,202,330.84 × 89,202,330.84
  4. Step 4: Simplify right side
    65,050,864.59x = 7,957,055,827,957,833
  5. Step 5: Solve for x
    x = 7,957,055,827,957,833/65,050,864.59
  6. Step 6: Final answer
    x = 122,320,523.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.