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Finding the Third Proportional to 100,057,224 and 149,496,672

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Solution

The third proportional to 100,057,224 and 149,496,672 is: 223,364,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,057,224 : 149,496,672 = 149,496,672 : x
  2. Step 2: Convert to fraction form
    100,057,224/149,496,672 = 149,496,672/x
  3. Step 3: Cross multiply
    100,057,224x = 149,496,672 × 149,496,672
  4. Step 4: Simplify right side
    100,057,224x = 22,349,254,939,075,584
  5. Step 5: Solve for x
    x = 22,349,254,939,075,584/100,057,224
  6. Step 6: Final answer
    x = 223,364,731.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.