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Finding the Third Proportional to 99,127,946.25 and 214,730,837.25

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Solution

The third proportional to 99,127,946.25 and 214,730,837.25 is: 465,149,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,127,946.25 : 214,730,837.25 = 214,730,837.25 : x
  2. Step 2: Convert to fraction form
    99,127,946.25/214,730,837.25 = 214,730,837.25/x
  3. Step 3: Cross multiply
    99,127,946.25x = 214,730,837.25 × 214,730,837.25
  4. Step 4: Simplify right side
    99,127,946.25x = 46,109,332,466,085,984
  5. Step 5: Solve for x
    x = 46,109,332,466,085,984/99,127,946.25
  6. Step 6: Final answer
    x = 465,149,679.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.