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Finding the Third Proportional to 35,888,233.50 and 78,724,503

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Solution

The third proportional to 35,888,233.50 and 78,724,503 is: 172,690,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888,233.50 : 78,724,503 = 78,724,503 : x
  2. Step 2: Convert to fraction form
    35,888,233.50/78,724,503 = 78,724,503/x
  3. Step 3: Cross multiply
    35,888,233.50x = 78,724,503 × 78,724,503
  4. Step 4: Simplify right side
    35,888,233.50x = 6,197,547,372,597,009
  5. Step 5: Solve for x
    x = 6,197,547,372,597,009/35,888,233.50
  6. Step 6: Final answer
    x = 172,690,232.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.