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Finding the Third Proportional to 73,176,675.75 and 144,502,663.50

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Solution

The third proportional to 73,176,675.75 and 144,502,663.50 is: 285,350,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176,675.75 : 144,502,663.50 = 144,502,663.50 : x
  2. Step 2: Convert to fraction form
    73,176,675.75/144,502,663.50 = 144,502,663.50/x
  3. Step 3: Cross multiply
    73,176,675.75x = 144,502,663.50 × 144,502,663.50
  4. Step 4: Simplify right side
    73,176,675.75x = 20,881,019,758,594,232
  5. Step 5: Solve for x
    x = 20,881,019,758,594,232/73,176,675.75
  6. Step 6: Final answer
    x = 285,350,756.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.