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Finding the Third Proportional to 201,583,761,083 and 431,920,692,928

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Solution

The third proportional to 201,583,761,083 and 431,920,692,928 is: 925,448,974,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583,761,083 : 431,920,692,928 = 431,920,692,928 : x
  2. Step 2: Convert to fraction form
    201,583,761,083/431,920,692,928 = 431,920,692,928/x
  3. Step 3: Cross multiply
    201,583,761,083x = 431,920,692,928 × 431,920,692,928
  4. Step 4: Simplify right side
    201,583,761,083x = 186,555,484,979,403,683,790,848
  5. Step 5: Solve for x
    x = 186,555,484,979,403,683,790,848/201,583,761,083
  6. Step 6: Final answer
    x = 925,448,974,546.08

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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.