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Finding the Third Proportional to 141,778,524 and 212,431,266

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Solution

The third proportional to 141,778,524 and 212,431,266 is: 318,292,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,778,524 : 212,431,266 = 212,431,266 : x
  2. Step 2: Convert to fraction form
    141,778,524/212,431,266 = 212,431,266/x
  3. Step 3: Cross multiply
    141,778,524x = 212,431,266 × 212,431,266
  4. Step 4: Simplify right side
    141,778,524x = 45,127,042,774,362,752
  5. Step 5: Solve for x
    x = 45,127,042,774,362,752/141,778,524
  6. Step 6: Final answer
    x = 318,292,513.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.