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Finding the Third Proportional to 157,298,208 and 240,737,328

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Solution

The third proportional to 157,298,208 and 240,737,328 is: 368,436,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298,208 : 240,737,328 = 240,737,328 : x
  2. Step 2: Convert to fraction form
    157,298,208/240,737,328 = 240,737,328/x
  3. Step 3: Cross multiply
    157,298,208x = 240,737,328 × 240,737,328
  4. Step 4: Simplify right side
    157,298,208x = 57,954,461,092,579,584
  5. Step 5: Solve for x
    x = 57,954,461,092,579,584/157,298,208
  6. Step 6: Final answer
    x = 368,436,880.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.