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Finding the Third Proportional to 178,647,119.63 and 386,972,921.25

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Solution

The third proportional to 178,647,119.63 and 386,972,921.25 is: 838,233,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,647,119.63 : 386,972,921.25 = 386,972,921.25 : x
  2. Step 2: Convert to fraction form
    178,647,119.63/386,972,921.25 = 386,972,921.25/x
  3. Step 3: Cross multiply
    178,647,119.63x = 386,972,921.25 × 386,972,921.25
  4. Step 4: Simplify right side
    178,647,119.63x = 149,748,041,780,758,688
  5. Step 5: Solve for x
    x = 149,748,041,780,758,688/178,647,119.63
  6. Step 6: Final answer
    x = 838,233,731.92

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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.