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Finding the Third Proportional to 65,585,216 and 98,016,361

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Solution

The third proportional to 65,585,216 and 98,016,361 is: 146,484,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,585,216 : 98,016,361 = 98,016,361 : x
  2. Step 2: Convert to fraction form
    65,585,216/98,016,361 = 98,016,361/x
  3. Step 3: Cross multiply
    65,585,216x = 98,016,361 × 98,016,361
  4. Step 4: Simplify right side
    65,585,216x = 9,607,207,023,682,320
  5. Step 5: Solve for x
    x = 9,607,207,023,682,320/65,585,216
  6. Step 6: Final answer
    x = 146,484,339.15

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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.