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Finding the Third Proportional to 69,521,742 and 105,177,231

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Solution

The third proportional to 69,521,742 and 105,177,231 is: 159,119,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,521,742 : 105,177,231 = 105,177,231 : x
  2. Step 2: Convert to fraction form
    69,521,742/105,177,231 = 105,177,231/x
  3. Step 3: Cross multiply
    69,521,742x = 105,177,231 × 105,177,231
  4. Step 4: Simplify right side
    69,521,742x = 11,062,249,920,827,360
  5. Step 5: Solve for x
    x = 11,062,249,920,827,360/69,521,742
  6. Step 6: Final answer
    x = 159,119,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.