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Finding the Third Proportional to 98,920,468 and 211,454,408

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Solution

The third proportional to 98,920,468 and 211,454,408 is: 452,009,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,920,468 : 211,454,408 = 211,454,408 : x
  2. Step 2: Convert to fraction form
    98,920,468/211,454,408 = 211,454,408/x
  3. Step 3: Cross multiply
    98,920,468x = 211,454,408 × 211,454,408
  4. Step 4: Simplify right side
    98,920,468x = 44,712,966,662,630,464
  5. Step 5: Solve for x
    x = 44,712,966,662,630,464/98,920,468
  6. Step 6: Final answer
    x = 452,009,251.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.