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Finding the Third Proportional to 215,048,160 and 469,147,393.50

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Solution

The third proportional to 215,048,160 and 469,147,393.50 is: 1,023,488,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,048,160 : 469,147,393.50 = 469,147,393.50 : x
  2. Step 2: Convert to fraction form
    215,048,160/469,147,393.50 = 469,147,393.50/x
  3. Step 3: Cross multiply
    215,048,160x = 469,147,393.50 × 469,147,393.50
  4. Step 4: Simplify right side
    215,048,160x = 220,099,276,827,843,840
  5. Step 5: Solve for x
    x = 220,099,276,827,843,840/215,048,160
  6. Step 6: Final answer
    x = 1,023,488,305.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.