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Finding the Third Proportional to 77,574,221.44 and 115,688,624.63

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Solution

The third proportional to 77,574,221.44 and 115,688,624.63 is: 172,529,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574,221.44 : 115,688,624.63 = 115,688,624.63 : x
  2. Step 2: Convert to fraction form
    77,574,221.44/115,688,624.63 = 115,688,624.63/x
  3. Step 3: Cross multiply
    77,574,221.44x = 115,688,624.63 × 115,688,624.63
  4. Step 4: Simplify right side
    77,574,221.44x = 13,383,857,867,624,156
  5. Step 5: Solve for x
    x = 13,383,857,867,624,156/77,574,221.44
  6. Step 6: Final answer
    x = 172,529,709.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.