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Finding the Third Proportional to 183,009,996 and 278,803,080

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Solution

The third proportional to 183,009,996 and 278,803,080 is: 424,737,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,009,996 : 278,803,080 = 278,803,080 : x
  2. Step 2: Convert to fraction form
    183,009,996/278,803,080 = 278,803,080/x
  3. Step 3: Cross multiply
    183,009,996x = 278,803,080 × 278,803,080
  4. Step 4: Simplify right side
    183,009,996x = 77,731,157,417,486,400
  5. Step 5: Solve for x
    x = 77,731,157,417,486,400/183,009,996
  6. Step 6: Final answer
    x = 424,737,222.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.