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Finding the Third Proportional to 151,227,783 and 228,232,788.75

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Solution

The third proportional to 151,227,783 and 228,232,788.75 is: 344,448,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,227,783 : 228,232,788.75 = 228,232,788.75 : x
  2. Step 2: Convert to fraction form
    151,227,783/228,232,788.75 = 228,232,788.75/x
  3. Step 3: Cross multiply
    151,227,783x = 228,232,788.75 × 228,232,788.75
  4. Step 4: Simplify right side
    151,227,783x = 52,090,205,860,602,128
  5. Step 5: Solve for x
    x = 52,090,205,860,602,128/151,227,783
  6. Step 6: Final answer
    x = 344,448,651.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.