Home / 48,448,909.69-106,314,292.13

Finding the Third Proportional to 48,448,909.69 and 106,314,292.13

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Solution

The third proportional to 48,448,909.69 and 106,314,292.13 is: 233,291,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448,909.69 : 106,314,292.13 = 106,314,292.13 : x
  2. Step 2: Convert to fraction form
    48,448,909.69/106,314,292.13 = 106,314,292.13/x
  3. Step 3: Cross multiply
    48,448,909.69x = 106,314,292.13 × 106,314,292.13
  4. Step 4: Simplify right side
    48,448,909.69x = 11,302,728,710,039,838
  5. Step 5: Solve for x
    x = 11,302,728,710,039,838/48,448,909.69
  6. Step 6: Final answer
    x = 233,291,704.25

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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.