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Finding the Third Proportional to 233,191,944 and 348,502,716

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Solution

The third proportional to 233,191,944 and 348,502,716 is: 520,833,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,191,944 : 348,502,716 = 348,502,716 : x
  2. Step 2: Convert to fraction form
    233,191,944/348,502,716 = 348,502,716/x
  3. Step 3: Cross multiply
    233,191,944x = 348,502,716 × 348,502,716
  4. Step 4: Simplify right side
    233,191,944x = 121,454,143,059,376,656
  5. Step 5: Solve for x
    x = 121,454,143,059,376,656/233,191,944
  6. Step 6: Final answer
    x = 520,833,357.17

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Why These Related Problems?

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