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Finding the Third Proportional to 65,585,306 and 98,016,483

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Solution

The third proportional to 65,585,306 and 98,016,483 is: 146,484,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,585,306 : 98,016,483 = 98,016,483 : x
  2. Step 2: Convert to fraction form
    65,585,306/98,016,483 = 98,016,483/x
  3. Step 3: Cross multiply
    65,585,306x = 98,016,483 × 98,016,483
  4. Step 4: Simplify right side
    65,585,306x = 9,607,230,939,689,288
  5. Step 5: Solve for x
    x = 9,607,230,939,689,288/65,585,306
  6. Step 6: Final answer
    x = 146,484,502.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.