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Finding the Third Proportional to 75,769,901.63 and 163,664,527.88

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Solution

The third proportional to 75,769,901.63 and 163,664,527.88 is: 353,518,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769,901.63 : 163,664,527.88 = 163,664,527.88 : x
  2. Step 2: Convert to fraction form
    75,769,901.63/163,664,527.88 = 163,664,527.88/x
  3. Step 3: Cross multiply
    75,769,901.63x = 163,664,527.88 × 163,664,527.88
  4. Step 4: Simplify right side
    75,769,901.63x = 26,786,077,684,546,652
  5. Step 5: Solve for x
    x = 26,786,077,684,546,652/75,769,901.63
  6. Step 6: Final answer
    x = 353,518,707.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.