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Finding the Third Proportional to 243,966,935.25 and 371,670,638.34

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Solution

The third proportional to 243,966,935.25 and 371,670,638.34 is: 566,220,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,966,935.25 : 371,670,638.34 = 371,670,638.34 : x
  2. Step 2: Convert to fraction form
    243,966,935.25/371,670,638.34 = 371,670,638.34/x
  3. Step 3: Cross multiply
    243,966,935.25x = 371,670,638.34 × 371,670,638.34
  4. Step 4: Simplify right side
    243,966,935.25x = 138,139,063,406,850,608
  5. Step 5: Solve for x
    x = 138,139,063,406,850,608/243,966,935.25
  6. Step 6: Final answer
    x = 566,220,431.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.