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Finding the Third Proportional to 214,150,888.13 and 288,939,830.06

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Solution

The third proportional to 214,150,888.13 and 288,939,830.06 is: 389,847,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,888.13 : 288,939,830.06 = 288,939,830.06 : x
  2. Step 2: Convert to fraction form
    214,150,888.13/288,939,830.06 = 288,939,830.06/x
  3. Step 3: Cross multiply
    214,150,888.13x = 288,939,830.06 × 288,939,830.06
  4. Step 4: Simplify right side
    214,150,888.13x = 83,486,225,396,546,384
  5. Step 5: Solve for x
    x = 83,486,225,396,546,384/214,150,888.13
  6. Step 6: Final answer
    x = 389,847,672.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.