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Finding the Third Proportional to 98,296,960 and 212,950,490

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Solution

The third proportional to 98,296,960 and 212,950,490 is: 461,335,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296,960 : 212,950,490 = 212,950,490 : x
  2. Step 2: Convert to fraction form
    98,296,960/212,950,490 = 212,950,490/x
  3. Step 3: Cross multiply
    98,296,960x = 212,950,490 × 212,950,490
  4. Step 4: Simplify right side
    98,296,960x = 45,347,911,191,240,096
  5. Step 5: Solve for x
    x = 45,347,911,191,240,096/98,296,960
  6. Step 6: Final answer
    x = 461,335,845.90

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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.