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Finding the Third Proportional to 146,614,112 and 215,128,316.50

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Solution

The third proportional to 146,614,112 and 215,128,316.50 is: 315,659,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,614,112 : 215,128,316.50 = 215,128,316.50 : x
  2. Step 2: Convert to fraction form
    146,614,112/215,128,316.50 = 215,128,316.50/x
  3. Step 3: Cross multiply
    146,614,112x = 215,128,316.50 × 215,128,316.50
  4. Step 4: Simplify right side
    146,614,112x = 46,280,192,560,124,176
  5. Step 5: Solve for x
    x = 46,280,192,560,124,176/146,614,112
  6. Step 6: Final answer
    x = 315,659,877.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.