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Finding the Third Proportional to 234,421,897.50 and 510,501,771

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Solution

The third proportional to 234,421,897.50 and 510,501,771 is: 1,111,722,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,421,897.50 : 510,501,771 = 510,501,771 : x
  2. Step 2: Convert to fraction form
    234,421,897.50/510,501,771 = 510,501,771/x
  3. Step 3: Cross multiply
    234,421,897.50x = 510,501,771 × 510,501,771
  4. Step 4: Simplify right side
    234,421,897.50x = 260,612,058,194,136,448
  5. Step 5: Solve for x
    x = 260,612,058,194,136,448/234,421,897.50
  6. Step 6: Final answer
    x = 1,111,722,330.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.