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Finding the Third Proportional to 151,728,583.50 and 328,966,330.50

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Solution

The third proportional to 151,728,583.50 and 328,966,330.50 is: 713,239,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,728,583.50 : 328,966,330.50 = 328,966,330.50 : x
  2. Step 2: Convert to fraction form
    151,728,583.50/328,966,330.50 = 328,966,330.50/x
  3. Step 3: Cross multiply
    151,728,583.50x = 328,966,330.50 × 328,966,330.50
  4. Step 4: Simplify right side
    151,728,583.50x = 108,218,846,602,635,232
  5. Step 5: Solve for x
    x = 108,218,846,602,635,232/151,728,583.50
  6. Step 6: Final answer
    x = 713,239,681.72

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Why These Related Problems?

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