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Finding the Third Proportional to 48,193,062.75 and 105,952,036.50

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Solution

The third proportional to 48,193,062.75 and 105,952,036.50 is: 232,934,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193,062.75 : 105,952,036.50 = 105,952,036.50 : x
  2. Step 2: Convert to fraction form
    48,193,062.75/105,952,036.50 = 105,952,036.50/x
  3. Step 3: Cross multiply
    48,193,062.75x = 105,952,036.50 × 105,952,036.50
  4. Step 4: Simplify right side
    48,193,062.75x = 11,225,834,038,497,332
  5. Step 5: Solve for x
    x = 11,225,834,038,497,332/48,193,062.75
  6. Step 6: Final answer
    x = 232,934,646.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.