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Finding the Third Proportional to 126,322,911 and 190,417,486.50

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Solution

The third proportional to 126,322,911 and 190,417,486.50 is: 287,032,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,322,911 : 190,417,486.50 = 190,417,486.50 : x
  2. Step 2: Convert to fraction form
    126,322,911/190,417,486.50 = 190,417,486.50/x
  3. Step 3: Cross multiply
    126,322,911x = 190,417,486.50 × 190,417,486.50
  4. Step 4: Simplify right side
    126,322,911x = 36,258,819,164,977,680
  5. Step 5: Solve for x
    x = 36,258,819,164,977,680/126,322,911
  6. Step 6: Final answer
    x = 287,032,802.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.