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Finding the Third Proportional to 108,943,136.25 and 233,428,440

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Solution

The third proportional to 108,943,136.25 and 233,428,440 is: 500,158,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,943,136.25 : 233,428,440 = 233,428,440 : x
  2. Step 2: Convert to fraction form
    108,943,136.25/233,428,440 = 233,428,440/x
  3. Step 3: Cross multiply
    108,943,136.25x = 233,428,440 × 233,428,440
  4. Step 4: Simplify right side
    108,943,136.25x = 54,488,836,600,833,600
  5. Step 5: Solve for x
    x = 54,488,836,600,833,600/108,943,136.25
  6. Step 6: Final answer
    x = 500,158,509.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.