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Finding the Third Proportional to 147,742,060.50 and 320,717,565

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Solution

The third proportional to 147,742,060.50 and 320,717,565 is: 696,211,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,742,060.50 : 320,717,565 = 320,717,565 : x
  2. Step 2: Convert to fraction form
    147,742,060.50/320,717,565 = 320,717,565/x
  3. Step 3: Cross multiply
    147,742,060.50x = 320,717,565 × 320,717,565
  4. Step 4: Simplify right side
    147,742,060.50x = 102,859,756,499,529,232
  5. Step 5: Solve for x
    x = 102,859,756,499,529,232/147,742,060.50
  6. Step 6: Final answer
    x = 696,211,736.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.