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Finding the Third Proportional to 99,486,395 and 214,089,334

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Solution

The third proportional to 99,486,395 and 214,089,334 is: 460,708,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,486,395 : 214,089,334 = 214,089,334 : x
  2. Step 2: Convert to fraction form
    99,486,395/214,089,334 = 214,089,334/x
  3. Step 3: Cross multiply
    99,486,395x = 214,089,334 × 214,089,334
  4. Step 4: Simplify right side
    99,486,395x = 45,834,242,932,563,552
  5. Step 5: Solve for x
    x = 45,834,242,932,563,552/99,486,395
  6. Step 6: Final answer
    x = 460,708,652.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.