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Finding the Third Proportional to 98,153,575 and 212,665,120

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Solution

The third proportional to 98,153,575 and 212,665,120 is: 460,772,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153,575 : 212,665,120 = 212,665,120 : x
  2. Step 2: Convert to fraction form
    98,153,575/212,665,120 = 212,665,120/x
  3. Step 3: Cross multiply
    98,153,575x = 212,665,120 × 212,665,120
  4. Step 4: Simplify right side
    98,153,575x = 45,226,453,264,614,400
  5. Step 5: Solve for x
    x = 45,226,453,264,614,400/98,153,575
  6. Step 6: Final answer
    x = 460,772,348.48

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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.