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Finding the Third Proportional to 48,448,742.63 and 106,313,978.25

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Solution

The third proportional to 48,448,742.63 and 106,313,978.25 is: 233,291,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448,742.63 : 106,313,978.25 = 106,313,978.25 : x
  2. Step 2: Convert to fraction form
    48,448,742.63/106,313,978.25 = 106,313,978.25/x
  3. Step 3: Cross multiply
    48,448,742.63x = 106,313,978.25 × 106,313,978.25
  4. Step 4: Simplify right side
    48,448,742.63x = 11,302,661,971,341,474
  5. Step 5: Solve for x
    x = 11,302,661,971,341,474/48,448,742.63
  6. Step 6: Final answer
    x = 233,291,131.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.