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Finding the Third Proportional to 142,095,342 and 212,564,574

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Solution

The third proportional to 142,095,342 and 212,564,574 is: 317,981,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,095,342 : 212,564,574 = 212,564,574 : x
  2. Step 2: Convert to fraction form
    142,095,342/212,564,574 = 212,564,574/x
  3. Step 3: Cross multiply
    142,095,342x = 212,564,574 × 212,564,574
  4. Step 4: Simplify right side
    142,095,342x = 45,183,698,119,801,472
  5. Step 5: Solve for x
    x = 45,183,698,119,801,472/142,095,342
  6. Step 6: Final answer
    x = 317,981,557.20

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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.