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Finding the Third Proportional to 157,440,946 and 217,029,237

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Solution

The third proportional to 157,440,946 and 217,029,237 is: 299,170,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,440,946 : 217,029,237 = 217,029,237 : x
  2. Step 2: Convert to fraction form
    157,440,946/217,029,237 = 217,029,237/x
  3. Step 3: Cross multiply
    157,440,946x = 217,029,237 × 217,029,237
  4. Step 4: Simplify right side
    157,440,946x = 47,101,689,712,802,168
  5. Step 5: Solve for x
    x = 47,101,689,712,802,168/157,440,946
  6. Step 6: Final answer
    x = 299,170,520.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.