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Finding the Third Proportional to 201,583,761,080 and 431,920,692,922

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Solution

The third proportional to 201,583,761,080 and 431,920,692,922 is: 925,448,974,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583,761,080 : 431,920,692,922 = 431,920,692,922 : x
  2. Step 2: Convert to fraction form
    201,583,761,080/431,920,692,922 = 431,920,692,922/x
  3. Step 3: Cross multiply
    201,583,761,080x = 431,920,692,922 × 431,920,692,922
  4. Step 4: Simplify right side
    201,583,761,080x = 186,555,484,974,220,631,343,104
  5. Step 5: Solve for x
    x = 186,555,484,974,220,631,343,104/201,583,761,080
  6. Step 6: Final answer
    x = 925,448,974,534.14

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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.