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Finding the Third Proportional to 160,403,415 and 343,827,963

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Solution

The third proportional to 160,403,415 and 343,827,963 is: 737,002,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,403,415 : 343,827,963 = 343,827,963 : x
  2. Step 2: Convert to fraction form
    160,403,415/343,827,963 = 343,827,963/x
  3. Step 3: Cross multiply
    160,403,415x = 343,827,963 × 343,827,963
  4. Step 4: Simplify right side
    160,403,415x = 118,217,668,140,729,376
  5. Step 5: Solve for x
    x = 118,217,668,140,729,376/160,403,415
  6. Step 6: Final answer
    x = 737,002,190.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.