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Finding the Third Proportional to 218,547,735.75 and 336,262,644

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Solution

The third proportional to 218,547,735.75 and 336,262,644 is: 517,381,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547,735.75 : 336,262,644 = 336,262,644 : x
  2. Step 2: Convert to fraction form
    218,547,735.75/336,262,644 = 336,262,644/x
  3. Step 3: Cross multiply
    218,547,735.75x = 336,262,644 × 336,262,644
  4. Step 4: Simplify right side
    218,547,735.75x = 113,072,565,749,870,736
  5. Step 5: Solve for x
    x = 113,072,565,749,870,736/218,547,735.75
  6. Step 6: Final answer
    x = 517,381,547.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.