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Finding the Third Proportional to 43,730,857.13 and 101,239,615.13

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Solution

The third proportional to 43,730,857.13 and 101,239,615.13 is: 234,375,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,730,857.13 : 101,239,615.13 = 101,239,615.13 : x
  2. Step 2: Convert to fraction form
    43,730,857.13/101,239,615.13 = 101,239,615.13/x
  3. Step 3: Cross multiply
    43,730,857.13x = 101,239,615.13 × 101,239,615.13
  4. Step 4: Simplify right side
    43,730,857.13x = 10,249,459,670,658,128
  5. Step 5: Solve for x
    x = 10,249,459,670,658,128/43,730,857.13
  6. Step 6: Final answer
    x = 234,375,915.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.