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Finding the Third Proportional to 296,376,472,188 and 399,881,445,174

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Solution

The third proportional to 296,376,472,188 and 399,881,445,174 is: 539,533,954,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,376,472,188 : 399,881,445,174 = 399,881,445,174 : x
  2. Step 2: Convert to fraction form
    296,376,472,188/399,881,445,174 = 399,881,445,174/x
  3. Step 3: Cross multiply
    296,376,472,188x = 399,881,445,174 × 399,881,445,174
  4. Step 4: Simplify right side
    296,376,472,188x = 159,905,170,194,446,763,950,080
  5. Step 5: Solve for x
    x = 159,905,170,194,446,763,950,080/296,376,472,188
  6. Step 6: Final answer
    x = 539,533,954,952.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.