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Finding the Third Proportional to 85,357,351 and 201,430,622.50

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Solution

The third proportional to 85,357,351 and 201,430,622.50 is: 475,346,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,357,351 : 201,430,622.50 = 201,430,622.50 : x
  2. Step 2: Convert to fraction form
    85,357,351/201,430,622.50 = 201,430,622.50/x
  3. Step 3: Cross multiply
    85,357,351x = 201,430,622.50 × 201,430,622.50
  4. Step 4: Simplify right side
    85,357,351x = 40,574,295,680,737,504
  5. Step 5: Solve for x
    x = 40,574,295,680,737,504/85,357,351
  6. Step 6: Final answer
    x = 475,346,237.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.