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Finding the Third Proportional to 145,698,482.25 and 224,175,087

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Solution

The third proportional to 145,698,482.25 and 224,175,087 is: 344,921,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,698,482.25 : 224,175,087 = 224,175,087 : x
  2. Step 2: Convert to fraction form
    145,698,482.25/224,175,087 = 224,175,087/x
  3. Step 3: Cross multiply
    145,698,482.25x = 224,175,087 × 224,175,087
  4. Step 4: Simplify right side
    145,698,482.25x = 50,254,469,631,457,568
  5. Step 5: Solve for x
    x = 50,254,469,631,457,568/145,698,482.25
  6. Step 6: Final answer
    x = 344,921,023.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.