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Finding the Third Proportional to 232,914,406.50 and 498,547,153.13

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Solution

The third proportional to 232,914,406.50 and 498,547,153.13 is: 1,067,127,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,914,406.50 : 498,547,153.13 = 498,547,153.13 : x
  2. Step 2: Convert to fraction form
    232,914,406.50/498,547,153.13 = 498,547,153.13/x
  3. Step 3: Cross multiply
    232,914,406.50x = 498,547,153.13 × 498,547,153.13
  4. Step 4: Simplify right side
    232,914,406.50x = 248,549,263,889,042,208
  5. Step 5: Solve for x
    x = 248,549,263,889,042,208/232,914,406.50
  6. Step 6: Final answer
    x = 1,067,127,051.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.