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Finding the Third Proportional to 48,495,128 and 106,123,168

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Solution

The third proportional to 48,495,128 and 106,123,168 is: 232,232,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,495,128 : 106,123,168 = 106,123,168 : x
  2. Step 2: Convert to fraction form
    48,495,128/106,123,168 = 106,123,168/x
  3. Step 3: Cross multiply
    48,495,128x = 106,123,168 × 106,123,168
  4. Step 4: Simplify right side
    48,495,128x = 11,262,126,786,356,224
  5. Step 5: Solve for x
    x = 11,262,126,786,356,224/48,495,128
  6. Step 6: Final answer
    x = 232,232,128.27

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