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Finding the Third Proportional to 234,312,864.19 and 503,889,053.06

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Solution

The third proportional to 234,312,864.19 and 503,889,053.06 is: 1,083,611,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,312,864.19 : 503,889,053.06 = 503,889,053.06 : x
  2. Step 2: Convert to fraction form
    234,312,864.19/503,889,053.06 = 503,889,053.06/x
  3. Step 3: Cross multiply
    234,312,864.19x = 503,889,053.06 × 503,889,053.06
  4. Step 4: Simplify right side
    234,312,864.19x = 253,904,177,796,222,944
  5. Step 5: Solve for x
    x = 253,904,177,796,222,944/234,312,864.19
  6. Step 6: Final answer
    x = 1,083,611,771.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.