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Finding the Third Proportional to 102,329,163 and 157,446,004.50

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Solution

The third proportional to 102,329,163 and 157,446,004.50 is: 242,250,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,329,163 : 157,446,004.50 = 157,446,004.50 : x
  2. Step 2: Convert to fraction form
    102,329,163/157,446,004.50 = 157,446,004.50/x
  3. Step 3: Cross multiply
    102,329,163x = 157,446,004.50 × 157,446,004.50
  4. Step 4: Simplify right side
    102,329,163x = 24,789,244,333,014,020
  5. Step 5: Solve for x
    x = 24,789,244,333,014,020/102,329,163
  6. Step 6: Final answer
    x = 242,250,044.92

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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.