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Finding the Third Proportional to 147,314,632.50 and 204,829,224.75

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Solution

The third proportional to 147,314,632.50 and 204,829,224.75 is: 284,798,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314,632.50 : 204,829,224.75 = 204,829,224.75 : x
  2. Step 2: Convert to fraction form
    147,314,632.50/204,829,224.75 = 204,829,224.75/x
  3. Step 3: Cross multiply
    147,314,632.50x = 204,829,224.75 × 204,829,224.75
  4. Step 4: Simplify right side
    147,314,632.50x = 41,955,011,311,686,016
  5. Step 5: Solve for x
    x = 41,955,011,311,686,016/147,314,632.50
  6. Step 6: Final answer
    x = 284,798,669.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.