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Finding the Third Proportional to 98,153,406 and 212,664,820

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Solution

The third proportional to 98,153,406 and 212,664,820 is: 460,771,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153,406 : 212,664,820 = 212,664,820 : x
  2. Step 2: Convert to fraction form
    98,153,406/212,664,820 = 212,664,820/x
  3. Step 3: Cross multiply
    98,153,406x = 212,664,820 × 212,664,820
  4. Step 4: Simplify right side
    98,153,406x = 45,226,325,665,632,400
  5. Step 5: Solve for x
    x = 45,226,325,665,632,400/98,153,406
  6. Step 6: Final answer
    x = 460,771,841.84

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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.