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Finding the Third Proportional to 76,725,174 and 164,366,988

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Solution

The third proportional to 76,725,174 and 164,366,988 is: 352,120,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,174 : 164,366,988 = 164,366,988 : x
  2. Step 2: Convert to fraction form
    76,725,174/164,366,988 = 164,366,988/x
  3. Step 3: Cross multiply
    76,725,174x = 164,366,988 × 164,366,988
  4. Step 4: Simplify right side
    76,725,174x = 27,016,506,744,192,144
  5. Step 5: Solve for x
    x = 27,016,506,744,192,144/76,725,174
  6. Step 6: Final answer
    x = 352,120,501.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.