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Finding the Third Proportional to 135,132,534.75 and 210,599,378.02

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Solution

The third proportional to 135,132,534.75 and 210,599,378.02 is: 328,211,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,132,534.75 : 210,599,378.02 = 210,599,378.02 : x
  2. Step 2: Convert to fraction form
    135,132,534.75/210,599,378.02 = 210,599,378.02/x
  3. Step 3: Cross multiply
    135,132,534.75x = 210,599,378.02 × 210,599,378.02
  4. Step 4: Simplify right side
    135,132,534.75x = 44,352,098,020,566,008
  5. Step 5: Solve for x
    x = 44,352,098,020,566,008/135,132,534.75
  6. Step 6: Final answer
    x = 328,211,841.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.