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Finding the Third Proportional to 109,986,088 and 238,889,196

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Solution

The third proportional to 109,986,088 and 238,889,196 is: 518,866,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,088 : 238,889,196 = 238,889,196 : x
  2. Step 2: Convert to fraction form
    109,986,088/238,889,196 = 238,889,196/x
  3. Step 3: Cross multiply
    109,986,088x = 238,889,196 × 238,889,196
  4. Step 4: Simplify right side
    109,986,088x = 57,068,047,965,526,416
  5. Step 5: Solve for x
    x = 57,068,047,965,526,416/109,986,088
  6. Step 6: Final answer
    x = 518,866,058.46

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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.