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Finding the Third Proportional to 144,798,672 and 202,544,784

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Solution

The third proportional to 144,798,672 and 202,544,784 is: 283,320,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,798,672 : 202,544,784 = 202,544,784 : x
  2. Step 2: Convert to fraction form
    144,798,672/202,544,784 = 202,544,784/x
  3. Step 3: Cross multiply
    144,798,672x = 202,544,784 × 202,544,784
  4. Step 4: Simplify right side
    144,798,672x = 41,024,389,525,606,656
  5. Step 5: Solve for x
    x = 41,024,389,525,606,656/144,798,672
  6. Step 6: Final answer
    x = 283,320,205.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.