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Finding the Third Proportional to 46,161,498 and 99,983,220

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Solution

The third proportional to 46,161,498 and 99,983,220 is: 216,558,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,161,498 : 99,983,220 = 99,983,220 : x
  2. Step 2: Convert to fraction form
    46,161,498/99,983,220 = 99,983,220/x
  3. Step 3: Cross multiply
    46,161,498x = 99,983,220 × 99,983,220
  4. Step 4: Simplify right side
    46,161,498x = 9,996,644,281,568,400
  5. Step 5: Solve for x
    x = 9,996,644,281,568,400/46,161,498
  6. Step 6: Final answer
    x = 216,558,056.27

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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.