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Finding the Third Proportional to 144,032,040 and 205,818,732

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Solution

The third proportional to 144,032,040 and 205,818,732 is: 294,110,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,032,040 : 205,818,732 = 205,818,732 : x
  2. Step 2: Convert to fraction form
    144,032,040/205,818,732 = 205,818,732/x
  3. Step 3: Cross multiply
    144,032,040x = 205,818,732 × 205,818,732
  4. Step 4: Simplify right side
    144,032,040x = 42,361,350,442,087,824
  5. Step 5: Solve for x
    x = 42,361,350,442,087,824/144,032,040
  6. Step 6: Final answer
    x = 294,110,605.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.