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Finding the Third Proportional to 200,977,618.50 and 435,343,791

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Solution

The third proportional to 200,977,618.50 and 435,343,791 is: 943,011,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977,618.50 : 435,343,791 = 435,343,791 : x
  2. Step 2: Convert to fraction form
    200,977,618.50/435,343,791 = 435,343,791/x
  3. Step 3: Cross multiply
    200,977,618.50x = 435,343,791 × 435,343,791
  4. Step 4: Simplify right side
    200,977,618.50x = 189,524,216,362,251,680
  5. Step 5: Solve for x
    x = 189,524,216,362,251,680/200,977,618.50
  6. Step 6: Final answer
    x = 943,011,554.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.