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Finding the Third Proportional to 232,723,362.94 and 500,754,656.25

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Solution

The third proportional to 232,723,362.94 and 500,754,656.25 is: 1,077,481,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,723,362.94 : 500,754,656.25 = 500,754,656.25 : x
  2. Step 2: Convert to fraction form
    232,723,362.94/500,754,656.25 = 500,754,656.25/x
  3. Step 3: Cross multiply
    232,723,362.94x = 500,754,656.25 × 500,754,656.25
  4. Step 4: Simplify right side
    232,723,362.94x = 250,755,225,756,055,680
  5. Step 5: Solve for x
    x = 250,755,225,756,055,680/232,723,362.94
  6. Step 6: Final answer
    x = 1,077,481,962.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.