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Finding the Third Proportional to 107,468,946 and 233,184,030.75

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Solution

The third proportional to 107,468,946 and 233,184,030.75 is: 505,958,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468,946 : 233,184,030.75 = 233,184,030.75 : x
  2. Step 2: Convert to fraction form
    107,468,946/233,184,030.75 = 233,184,030.75/x
  3. Step 3: Cross multiply
    107,468,946x = 233,184,030.75 × 233,184,030.75
  4. Step 4: Simplify right side
    107,468,946x = 54,374,792,196,816,944
  5. Step 5: Solve for x
    x = 54,374,792,196,816,944/107,468,946
  6. Step 6: Final answer
    x = 505,958,178.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.