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Finding the Third Proportional to 242,245,541.25 and 531,390,341.25

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Solution

The third proportional to 242,245,541.25 and 531,390,341.25 is: 1,165,658,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245,541.25 : 531,390,341.25 = 531,390,341.25 : x
  2. Step 2: Convert to fraction form
    242,245,541.25/531,390,341.25 = 531,390,341.25/x
  3. Step 3: Cross multiply
    242,245,541.25x = 531,390,341.25 × 531,390,341.25
  4. Step 4: Simplify right side
    242,245,541.25x = 282,375,694,773,791,456
  5. Step 5: Solve for x
    x = 282,375,694,773,791,456/242,245,541.25
  6. Step 6: Final answer
    x = 1,165,658,997.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.