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Finding the Third Proportional to 201,810,082 and 442,686,788

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Solution

The third proportional to 201,810,082 and 442,686,788 is: 971,069,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810,082 : 442,686,788 = 442,686,788 : x
  2. Step 2: Convert to fraction form
    201,810,082/442,686,788 = 442,686,788/x
  3. Step 3: Cross multiply
    201,810,082x = 442,686,788 × 442,686,788
  4. Step 4: Simplify right side
    201,810,082x = 195,971,592,269,756,928
  5. Step 5: Solve for x
    x = 195,971,592,269,756,928/201,810,082
  6. Step 6: Final answer
    x = 971,069,385.27

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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.