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Finding the Third Proportional to 604,192,657.50 and 932,979,199.50

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Solution

The third proportional to 604,192,657.50 and 932,979,199.50 is: 1,440,683,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,192,657.50 : 932,979,199.50 = 932,979,199.50 : x
  2. Step 2: Convert to fraction form
    604,192,657.50/932,979,199.50 = 932,979,199.50/x
  3. Step 3: Cross multiply
    604,192,657.50x = 932,979,199.50 × 932,979,199.50
  4. Step 4: Simplify right side
    604,192,657.50x = 870,450,186,699,660,800
  5. Step 5: Solve for x
    x = 870,450,186,699,660,800/604,192,657.50
  6. Step 6: Final answer
    x = 1,440,683,159.41

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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.