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Finding the Third Proportional to 172,569,643.50 and 233,228,655

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Solution

The third proportional to 172,569,643.50 and 233,228,655 is: 315,209,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,569,643.50 : 233,228,655 = 233,228,655 : x
  2. Step 2: Convert to fraction form
    172,569,643.50/233,228,655 = 233,228,655/x
  3. Step 3: Cross multiply
    172,569,643.50x = 233,228,655 × 233,228,655
  4. Step 4: Simplify right side
    172,569,643.50x = 54,395,605,513,109,024
  5. Step 5: Solve for x
    x = 54,395,605,513,109,024/172,569,643.50
  6. Step 6: Final answer
    x = 315,209,583.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.