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Finding the Third Proportional to 103,663,398 and 226,852,332

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Solution

The third proportional to 103,663,398 and 226,852,332 is: 496,433,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,398 : 226,852,332 = 226,852,332 : x
  2. Step 2: Convert to fraction form
    103,663,398/226,852,332 = 226,852,332/x
  3. Step 3: Cross multiply
    103,663,398x = 226,852,332 × 226,852,332
  4. Step 4: Simplify right side
    103,663,398x = 51,461,980,533,838,224
  5. Step 5: Solve for x
    x = 51,461,980,533,838,224/103,663,398
  6. Step 6: Final answer
    x = 496,433,471.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.