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Finding the Third Proportional to 201,583,761,082 and 431,920,692,926

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Solution

The third proportional to 201,583,761,082 and 431,920,692,926 is: 925,448,974,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583,761,082 : 431,920,692,926 = 431,920,692,926 : x
  2. Step 2: Convert to fraction form
    201,583,761,082/431,920,692,926 = 431,920,692,926/x
  3. Step 3: Cross multiply
    201,583,761,082x = 431,920,692,926 × 431,920,692,926
  4. Step 4: Simplify right side
    201,583,761,082x = 186,555,484,977,675,999,641,600
  5. Step 5: Solve for x
    x = 186,555,484,977,675,999,641,600/201,583,761,082
  6. Step 6: Final answer
    x = 925,448,974,542.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.