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Finding the Third Proportional to 114,298,498 and 250,794,492

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Solution

The third proportional to 114,298,498 and 250,794,492 is: 550,294,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,298,498 : 250,794,492 = 250,794,492 : x
  2. Step 2: Convert to fraction form
    114,298,498/250,794,492 = 250,794,492/x
  3. Step 3: Cross multiply
    114,298,498x = 250,794,492 × 250,794,492
  4. Step 4: Simplify right side
    114,298,498x = 62,897,877,217,538,064
  5. Step 5: Solve for x
    x = 62,897,877,217,538,064/114,298,498
  6. Step 6: Final answer
    x = 550,294,871.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.