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Finding the Third Proportional to 218,547,894 and 336,262,925

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Solution

The third proportional to 218,547,894 and 336,262,925 is: 517,382,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547,894 : 336,262,925 = 336,262,925 : x
  2. Step 2: Convert to fraction form
    218,547,894/336,262,925 = 336,262,925/x
  3. Step 3: Cross multiply
    218,547,894x = 336,262,925 × 336,262,925
  4. Step 4: Simplify right side
    218,547,894x = 113,072,754,729,555,632
  5. Step 5: Solve for x
    x = 113,072,754,729,555,632/218,547,894
  6. Step 6: Final answer
    x = 517,382,037.69

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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.