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Finding the Third Proportional to 109,986,083 and 238,889,195

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Solution

The third proportional to 109,986,083 and 238,889,195 is: 518,866,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,083 : 238,889,195 = 238,889,195 : x
  2. Step 2: Convert to fraction form
    109,986,083/238,889,195 = 238,889,195/x
  3. Step 3: Cross multiply
    109,986,083x = 238,889,195 × 238,889,195
  4. Step 4: Simplify right side
    109,986,083x = 57,068,047,487,748,024
  5. Step 5: Solve for x
    x = 57,068,047,487,748,024/109,986,083
  6. Step 6: Final answer
    x = 518,866,077.70

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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.