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Finding the Third Proportional to 160,015,497 and 349,105,074

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Solution

The third proportional to 160,015,497 and 349,105,074 is: 761,640,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015,497 : 349,105,074 = 349,105,074 : x
  2. Step 2: Convert to fraction form
    160,015,497/349,105,074 = 349,105,074/x
  3. Step 3: Cross multiply
    160,015,497x = 349,105,074 × 349,105,074
  4. Step 4: Simplify right side
    160,015,497x = 121,874,352,692,545,472
  5. Step 5: Solve for x
    x = 121,874,352,692,545,472/160,015,497
  6. Step 6: Final answer
    x = 761,640,934.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.