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Finding the Third Proportional to 380,870,857.50 and 536,350,095

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Solution

The third proportional to 380,870,857.50 and 536,350,095 is: 755,299,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,870,857.50 : 536,350,095 = 536,350,095 : x
  2. Step 2: Convert to fraction form
    380,870,857.50/536,350,095 = 536,350,095/x
  3. Step 3: Cross multiply
    380,870,857.50x = 536,350,095 × 536,350,095
  4. Step 4: Simplify right side
    380,870,857.50x = 287,671,424,406,509,024
  5. Step 5: Solve for x
    x = 287,671,424,406,509,024/380,870,857.50
  6. Step 6: Final answer
    x = 755,299,122.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.