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Finding the Third Proportional to 181,092,238 and 392,808,735

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Solution

The third proportional to 181,092,238 and 392,808,735 is: 852,044,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,092,238 : 392,808,735 = 392,808,735 : x
  2. Step 2: Convert to fraction form
    181,092,238/392,808,735 = 392,808,735/x
  3. Step 3: Cross multiply
    181,092,238x = 392,808,735 × 392,808,735
  4. Step 4: Simplify right side
    181,092,238x = 154,298,702,292,300,224
  5. Step 5: Solve for x
    x = 154,298,702,292,300,224/181,092,238
  6. Step 6: Final answer
    x = 852,044,814.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.