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Finding the Third Proportional to 107,862,319 and 235,903,988

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Solution

The third proportional to 107,862,319 and 235,903,988 is: 515,941,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,862,319 : 235,903,988 = 235,903,988 : x
  2. Step 2: Convert to fraction form
    107,862,319/235,903,988 = 235,903,988/x
  3. Step 3: Cross multiply
    107,862,319x = 235,903,988 × 235,903,988
  4. Step 4: Simplify right side
    107,862,319x = 55,650,691,554,304,144
  5. Step 5: Solve for x
    x = 55,650,691,554,304,144/107,862,319
  6. Step 6: Final answer
    x = 515,941,916.23

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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.