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Finding the Third Proportional to 48,448,950.19 and 106,314,347.81

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Solution

The third proportional to 48,448,950.19 and 106,314,347.81 is: 233,291,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448,950.19 : 106,314,347.81 = 106,314,347.81 : x
  2. Step 2: Convert to fraction form
    48,448,950.19/106,314,347.81 = 106,314,347.81/x
  3. Step 3: Cross multiply
    48,448,950.19x = 106,314,347.81 × 106,314,347.81
  4. Step 4: Simplify right side
    48,448,950.19x = 11,302,740,550,797,224
  5. Step 5: Solve for x
    x = 11,302,740,550,797,224/48,448,950.19
  6. Step 6: Final answer
    x = 233,291,753.63

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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.