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Finding the Third Proportional to 90,975,028 and 214,761,178

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Solution

The third proportional to 90,975,028 and 214,761,178 is: 506,978,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,975,028 : 214,761,178 = 214,761,178 : x
  2. Step 2: Convert to fraction form
    90,975,028/214,761,178 = 214,761,178/x
  3. Step 3: Cross multiply
    90,975,028x = 214,761,178 × 214,761,178
  4. Step 4: Simplify right side
    90,975,028x = 46,122,363,575,947,680
  5. Step 5: Solve for x
    x = 46,122,363,575,947,680/90,975,028
  6. Step 6: Final answer
    x = 506,978,283.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.