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Finding the Third Proportional to 119,085,911 and 257,960,214

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Solution

The third proportional to 119,085,911 and 257,960,214 is: 558,785,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085,911 : 257,960,214 = 257,960,214 : x
  2. Step 2: Convert to fraction form
    119,085,911/257,960,214 = 257,960,214/x
  3. Step 3: Cross multiply
    119,085,911x = 257,960,214 × 257,960,214
  4. Step 4: Simplify right side
    119,085,911x = 66,543,472,006,925,792
  5. Step 5: Solve for x
    x = 66,543,472,006,925,792/119,085,911
  6. Step 6: Final answer
    x = 558,785,430.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.