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Finding the Third Proportional to 218,819,624 and 346,495,328

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Solution

The third proportional to 218,819,624 and 346,495,328 is: 548,666,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819,624 : 346,495,328 = 346,495,328 : x
  2. Step 2: Convert to fraction form
    218,819,624/346,495,328 = 346,495,328/x
  3. Step 3: Cross multiply
    218,819,624x = 346,495,328 × 346,495,328
  4. Step 4: Simplify right side
    218,819,624x = 120,059,012,325,827,584
  5. Step 5: Solve for x
    x = 120,059,012,325,827,584/218,819,624
  6. Step 6: Final answer
    x = 548,666,568.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.