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Finding the Third Proportional to 218,819,614 and 346,495,319

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Solution

The third proportional to 218,819,614 and 346,495,319 is: 548,666,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819,614 : 346,495,319 = 346,495,319 : x
  2. Step 2: Convert to fraction form
    218,819,614/346,495,319 = 346,495,319/x
  3. Step 3: Cross multiply
    218,819,614x = 346,495,319 × 346,495,319
  4. Step 4: Simplify right side
    218,819,614x = 120,059,006,088,911,760
  5. Step 5: Solve for x
    x = 120,059,006,088,911,760/218,819,614
  6. Step 6: Final answer
    x = 548,666,565.55

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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.