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Finding the Third Proportional to 201,583,761,085 and 431,920,692,932

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Solution

The third proportional to 201,583,761,085 and 431,920,692,932 is: 925,448,974,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583,761,085 : 431,920,692,932 = 431,920,692,932 : x
  2. Step 2: Convert to fraction form
    201,583,761,085/431,920,692,932 = 431,920,692,932/x
  3. Step 3: Cross multiply
    201,583,761,085x = 431,920,692,932 × 431,920,692,932
  4. Step 4: Simplify right side
    201,583,761,085x = 186,555,484,982,859,018,534,912
  5. Step 5: Solve for x
    x = 186,555,484,982,859,018,534,912/201,583,761,085
  6. Step 6: Final answer
    x = 925,448,974,554.04

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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.