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Finding the Third Proportional to 115,732,629 and 176,312,174

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Solution

The third proportional to 115,732,629 and 176,312,174 is: 268,601,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,732,629 : 176,312,174 = 176,312,174 : x
  2. Step 2: Convert to fraction form
    115,732,629/176,312,174 = 176,312,174/x
  3. Step 3: Cross multiply
    115,732,629x = 176,312,174 × 176,312,174
  4. Step 4: Simplify right side
    115,732,629x = 31,085,982,700,606,276
  5. Step 5: Solve for x
    x = 31,085,982,700,606,276/115,732,629
  6. Step 6: Final answer
    x = 268,601,715.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.