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Finding the Third Proportional to 151,728,619.50 and 328,966,402.50

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Solution

The third proportional to 151,728,619.50 and 328,966,402.50 is: 713,239,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,728,619.50 : 328,966,402.50 = 328,966,402.50 : x
  2. Step 2: Convert to fraction form
    151,728,619.50/328,966,402.50 = 328,966,402.50/x
  3. Step 3: Cross multiply
    151,728,619.50x = 328,966,402.50 × 328,966,402.50
  4. Step 4: Simplify right side
    151,728,619.50x = 108,218,893,973,792,000
  5. Step 5: Solve for x
    x = 108,218,893,973,792,000/151,728,619.50
  6. Step 6: Final answer
    x = 713,239,824.70

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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.