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Finding the Third Proportional to 46,354,490 and 100,771,928

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Solution

The third proportional to 46,354,490 and 100,771,928 is: 219,072,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354,490 : 100,771,928 = 100,771,928 : x
  2. Step 2: Convert to fraction form
    46,354,490/100,771,928 = 100,771,928/x
  3. Step 3: Cross multiply
    46,354,490x = 100,771,928 × 100,771,928
  4. Step 4: Simplify right side
    46,354,490x = 10,154,981,472,837,184
  5. Step 5: Solve for x
    x = 10,154,981,472,837,184/46,354,490
  6. Step 6: Final answer
    x = 219,072,229.53

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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.