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Finding the Third Proportional to 101,163,496 and 238,731,148

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Solution

The third proportional to 101,163,496 and 238,731,148 is: 563,370,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,163,496 : 238,731,148 = 238,731,148 : x
  2. Step 2: Convert to fraction form
    101,163,496/238,731,148 = 238,731,148/x
  3. Step 3: Cross multiply
    101,163,496x = 238,731,148 × 238,731,148
  4. Step 4: Simplify right side
    101,163,496x = 56,992,561,025,397,904
  5. Step 5: Solve for x
    x = 56,992,561,025,397,904/101,163,496
  6. Step 6: Final answer
    x = 563,370,813.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.