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Finding the Third Proportional to 191,660,812.88 and 416,902,564.63

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Solution

The third proportional to 191,660,812.88 and 416,902,564.63 is: 906,850,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,660,812.88 : 416,902,564.63 = 416,902,564.63 : x
  2. Step 2: Convert to fraction form
    191,660,812.88/416,902,564.63 = 416,902,564.63/x
  3. Step 3: Cross multiply
    191,660,812.88x = 416,902,564.63 × 416,902,564.63
  4. Step 4: Simplify right side
    191,660,812.88x = 173,807,748,390,902,304
  5. Step 5: Solve for x
    x = 173,807,748,390,902,304/191,660,812.88
  6. Step 6: Final answer
    x = 906,850,731.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.