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Finding the Third Proportional to 172,214,763.75 and 265,936,695.75

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Solution

The third proportional to 172,214,763.75 and 265,936,695.75 is: 410,663,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,214,763.75 : 265,936,695.75 = 265,936,695.75 : x
  2. Step 2: Convert to fraction form
    172,214,763.75/265,936,695.75 = 265,936,695.75/x
  3. Step 3: Cross multiply
    172,214,763.75x = 265,936,695.75 × 265,936,695.75
  4. Step 4: Simplify right side
    172,214,763.75x = 70,722,326,146,428,072
  5. Step 5: Solve for x
    x = 70,722,326,146,428,072/172,214,763.75
  6. Step 6: Final answer
    x = 410,663,549.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.