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Finding the Third Proportional to 101,097,064 and 218,303,448

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Solution

The third proportional to 101,097,064 and 218,303,448 is: 471,392,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097,064 : 218,303,448 = 218,303,448 : x
  2. Step 2: Convert to fraction form
    101,097,064/218,303,448 = 218,303,448/x
  3. Step 3: Cross multiply
    101,097,064x = 218,303,448 × 218,303,448
  4. Step 4: Simplify right side
    101,097,064x = 47,656,395,408,688,704
  5. Step 5: Solve for x
    x = 47,656,395,408,688,704/101,097,064
  6. Step 6: Final answer
    x = 471,392,476.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.