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Finding the Third Proportional to 157,109,900,184 and 344,637,086,160

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Solution

The third proportional to 157,109,900,184 and 344,637,086,160 is: 755,997,687,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109,900,184 : 344,637,086,160 = 344,637,086,160 : x
  2. Step 2: Convert to fraction form
    157,109,900,184/344,637,086,160 = 344,637,086,160/x
  3. Step 3: Cross multiply
    157,109,900,184x = 344,637,086,160 × 344,637,086,160
  4. Step 4: Simplify right side
    157,109,900,184x = 118,774,721,156,855,256,580,096
  5. Step 5: Solve for x
    x = 118,774,721,156,855,256,580,096/157,109,900,184
  6. Step 6: Final answer
    x = 755,997,687,082.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.