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Finding the Third Proportional to 54,831,897 and 120,426,088.50

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Solution

The third proportional to 54,831,897 and 120,426,088.50 is: 264,489,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,831,897 : 120,426,088.50 = 120,426,088.50 : x
  2. Step 2: Convert to fraction form
    54,831,897/120,426,088.50 = 120,426,088.50/x
  3. Step 3: Cross multiply
    54,831,897x = 120,426,088.50 × 120,426,088.50
  4. Step 4: Simplify right side
    54,831,897x = 14,502,442,791,409,832
  5. Step 5: Solve for x
    x = 14,502,442,791,409,832/54,831,897
  6. Step 6: Final answer
    x = 264,489,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.