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Finding the Third Proportional to 53,338,498 and 116,368,354

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Solution

The third proportional to 53,338,498 and 116,368,354 is: 253,880,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338,498 : 116,368,354 = 116,368,354 : x
  2. Step 2: Convert to fraction form
    53,338,498/116,368,354 = 116,368,354/x
  3. Step 3: Cross multiply
    53,338,498x = 116,368,354 × 116,368,354
  4. Step 4: Simplify right side
    53,338,498x = 13,541,593,812,669,316
  5. Step 5: Solve for x
    x = 13,541,593,812,669,316/53,338,498
  6. Step 6: Final answer
    x = 253,880,298.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.