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Finding the Third Proportional to 51,811,155 and 111,693,160.13

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Solution

The third proportional to 51,811,155 and 111,693,160.13 is: 240,785,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811,155 : 111,693,160.13 = 111,693,160.13 : x
  2. Step 2: Convert to fraction form
    51,811,155/111,693,160.13 = 111,693,160.13/x
  3. Step 3: Cross multiply
    51,811,155x = 111,693,160.13 × 111,693,160.13
  4. Step 4: Simplify right side
    51,811,155x = 12,475,362,018,708,890
  5. Step 5: Solve for x
    x = 12,475,362,018,708,890/51,811,155
  6. Step 6: Final answer
    x = 240,785,252.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.