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Finding the Third Proportional to 114,849,023.50 and 176,531,213.50

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Solution

The third proportional to 114,849,023.50 and 176,531,213.50 is: 271,341,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,023.50 : 176,531,213.50 = 176,531,213.50 : x
  2. Step 2: Convert to fraction form
    114,849,023.50/176,531,213.50 = 176,531,213.50/x
  3. Step 3: Cross multiply
    114,849,023.50x = 176,531,213.50 × 176,531,213.50
  4. Step 4: Simplify right side
    114,849,023.50x = 31,163,269,339,782,584
  5. Step 5: Solve for x
    x = 31,163,269,339,782,584/114,849,023.50
  6. Step 6: Final answer
    x = 271,341,178.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.