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Finding the Third Proportional to 201,130,497 and 307,543,788

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Solution

The third proportional to 201,130,497 and 307,543,788 is: 470,257,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130,497 : 307,543,788 = 307,543,788 : x
  2. Step 2: Convert to fraction form
    201,130,497/307,543,788 = 307,543,788/x
  3. Step 3: Cross multiply
    201,130,497x = 307,543,788 × 307,543,788
  4. Step 4: Simplify right side
    201,130,497x = 94,583,181,537,388,944
  5. Step 5: Solve for x
    x = 94,583,181,537,388,944/201,130,497
  6. Step 6: Final answer
    x = 470,257,782.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.