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Finding the Third Proportional to 132,595,527 and 289,276,458

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Solution

The third proportional to 132,595,527 and 289,276,458 is: 631,098,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,595,527 : 289,276,458 = 289,276,458 : x
  2. Step 2: Convert to fraction form
    132,595,527/289,276,458 = 289,276,458/x
  3. Step 3: Cross multiply
    132,595,527x = 289,276,458 × 289,276,458
  4. Step 4: Simplify right side
    132,595,527x = 83,680,869,153,025,760
  5. Step 5: Solve for x
    x = 83,680,869,153,025,760/132,595,527
  6. Step 6: Final answer
    x = 631,098,733.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.