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Finding the Third Proportional to 157,265,352 and 234,534,224

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Solution

The third proportional to 157,265,352 and 234,534,224 is: 349,767,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,265,352 : 234,534,224 = 234,534,224 : x
  2. Step 2: Convert to fraction form
    157,265,352/234,534,224 = 234,534,224/x
  3. Step 3: Cross multiply
    157,265,352x = 234,534,224 × 234,534,224
  4. Step 4: Simplify right side
    157,265,352x = 55,006,302,227,282,176
  5. Step 5: Solve for x
    x = 55,006,302,227,282,176/157,265,352
  6. Step 6: Final answer
    x = 349,767,456.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.