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Finding the Third Proportional to 109,986,090 and 238,889,200

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Solution

The third proportional to 109,986,090 and 238,889,200 is: 518,866,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,090 : 238,889,200 = 238,889,200 : x
  2. Step 2: Convert to fraction form
    109,986,090/238,889,200 = 238,889,200/x
  3. Step 3: Cross multiply
    109,986,090x = 238,889,200 × 238,889,200
  4. Step 4: Simplify right side
    109,986,090x = 57,068,049,876,640,000
  5. Step 5: Solve for x
    x = 57,068,049,876,640,000/109,986,090
  6. Step 6: Final answer
    x = 518,866,066.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.