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Finding the Third Proportional to 65,468,159 and 98,475,569

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Solution

The third proportional to 65,468,159 and 98,475,569 is: 148,124,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468,159 : 98,475,569 = 98,475,569 : x
  2. Step 2: Convert to fraction form
    65,468,159/98,475,569 = 98,475,569/x
  3. Step 3: Cross multiply
    65,468,159x = 98,475,569 × 98,475,569
  4. Step 4: Simplify right side
    65,468,159x = 9,697,437,689,873,760
  5. Step 5: Solve for x
    x = 9,697,437,689,873,760/65,468,159
  6. Step 6: Final answer
    x = 148,124,490.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.