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Finding the Third Proportional to 118,584,114 and 177,178,654.50

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Solution

The third proportional to 118,584,114 and 177,178,654.50 is: 264,725,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,584,114 : 177,178,654.50 = 177,178,654.50 : x
  2. Step 2: Convert to fraction form
    118,584,114/177,178,654.50 = 177,178,654.50/x
  3. Step 3: Cross multiply
    118,584,114x = 177,178,654.50 × 177,178,654.50
  4. Step 4: Simplify right side
    118,584,114x = 31,392,275,610,430,372
  5. Step 5: Solve for x
    x = 31,392,275,610,430,372/118,584,114
  6. Step 6: Final answer
    x = 264,725,809.82

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