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Finding the Third Proportional to 120,157,354.13 and 246,684,619.13

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Solution

The third proportional to 120,157,354.13 and 246,684,619.13 is: 506,446,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,354.13 : 246,684,619.13 = 246,684,619.13 : x
  2. Step 2: Convert to fraction form
    120,157,354.13/246,684,619.13 = 246,684,619.13/x
  3. Step 3: Cross multiply
    120,157,354.13x = 246,684,619.13 × 246,684,619.13
  4. Step 4: Simplify right side
    120,157,354.13x = 60,853,301,312,846,312
  5. Step 5: Solve for x
    x = 60,853,301,312,846,312/120,157,354.13
  6. Step 6: Final answer
    x = 506,446,748.57

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.