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Finding the Third Proportional to 51,772,908 and 112,346,196

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Solution

The third proportional to 51,772,908 and 112,346,196 is: 243,789,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772,908 : 112,346,196 = 112,346,196 : x
  2. Step 2: Convert to fraction form
    51,772,908/112,346,196 = 112,346,196/x
  3. Step 3: Cross multiply
    51,772,908x = 112,346,196 × 112,346,196
  4. Step 4: Simplify right side
    51,772,908x = 12,621,667,755,670,416
  5. Step 5: Solve for x
    x = 12,621,667,755,670,416/51,772,908
  6. Step 6: Final answer
    x = 243,789,044.18

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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.