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Finding the Third Proportional to 102,205,293.75 and 221,660,550

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Solution

The third proportional to 102,205,293.75 and 221,660,550 is: 480,732,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205,293.75 : 221,660,550 = 221,660,550 : x
  2. Step 2: Convert to fraction form
    102,205,293.75/221,660,550 = 221,660,550/x
  3. Step 3: Cross multiply
    102,205,293.75x = 221,660,550 × 221,660,550
  4. Step 4: Simplify right side
    102,205,293.75x = 49,133,399,426,302,496
  5. Step 5: Solve for x
    x = 49,133,399,426,302,496/102,205,293.75
  6. Step 6: Final answer
    x = 480,732,431.99

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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.