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Finding the Third Proportional to 103,381,514 and 160,057,335

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Solution

The third proportional to 103,381,514 and 160,057,335 is: 247,803,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,381,514 : 160,057,335 = 160,057,335 : x
  2. Step 2: Convert to fraction form
    103,381,514/160,057,335 = 160,057,335/x
  3. Step 3: Cross multiply
    103,381,514x = 160,057,335 × 160,057,335
  4. Step 4: Simplify right side
    103,381,514x = 25,618,350,487,302,224
  5. Step 5: Solve for x
    x = 25,618,350,487,302,224/103,381,514
  6. Step 6: Final answer
    x = 247,803,978.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.