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Finding the Third Proportional to 65,585,214 and 98,016,358.50

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Solution

The third proportional to 65,585,214 and 98,016,358.50 is: 146,484,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,585,214 : 98,016,358.50 = 98,016,358.50 : x
  2. Step 2: Convert to fraction form
    65,585,214/98,016,358.50 = 98,016,358.50/x
  3. Step 3: Cross multiply
    65,585,214x = 98,016,358.50 × 98,016,358.50
  4. Step 4: Simplify right side
    65,585,214x = 9,607,206,533,600,522
  5. Step 5: Solve for x
    x = 9,607,206,533,600,522/65,585,214
  6. Step 6: Final answer
    x = 146,484,336.14

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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.