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Finding the Third Proportional to 66,773,711.25 and 144,968,332.50

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Solution

The third proportional to 66,773,711.25 and 144,968,332.50 is: 314,731,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,773,711.25 : 144,968,332.50 = 144,968,332.50 : x
  2. Step 2: Convert to fraction form
    66,773,711.25/144,968,332.50 = 144,968,332.50/x
  3. Step 3: Cross multiply
    66,773,711.25x = 144,968,332.50 × 144,968,332.50
  4. Step 4: Simplify right side
    66,773,711.25x = 21,015,817,427,830,556
  5. Step 5: Solve for x
    x = 21,015,817,427,830,556/66,773,711.25
  6. Step 6: Final answer
    x = 314,731,906.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.