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Finding the Third Proportional to 88,528,189,506 and 191,191,311,876

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Solution

The third proportional to 88,528,189,506 and 191,191,311,876 is: 412,909,356,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,528,189,506 : 191,191,311,876 = 191,191,311,876 : x
  2. Step 2: Convert to fraction form
    88,528,189,506/191,191,311,876 = 191,191,311,876/x
  3. Step 3: Cross multiply
    88,528,189,506x = 191,191,311,876 × 191,191,311,876
  4. Step 4: Simplify right side
    88,528,189,506x = 36,554,117,736,865,898,430,464
  5. Step 5: Solve for x
    x = 36,554,117,736,865,898,430,464/88,528,189,506
  6. Step 6: Final answer
    x = 412,909,356,227.02

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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.