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Finding the Third Proportional to 107,937,505.41 and 165,805,210.88

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Solution

The third proportional to 107,937,505.41 and 165,805,210.88 is: 254,697,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,937,505.41 : 165,805,210.88 = 165,805,210.88 : x
  2. Step 2: Convert to fraction form
    107,937,505.41/165,805,210.88 = 165,805,210.88/x
  3. Step 3: Cross multiply
    107,937,505.41x = 165,805,210.88 × 165,805,210.88
  4. Step 4: Simplify right side
    107,937,505.41x = 27,491,367,953,303,220
  5. Step 5: Solve for x
    x = 27,491,367,953,303,220/107,937,505.41
  6. Step 6: Final answer
    x = 254,697,084.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.