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Finding the Third Proportional to 157,109,900,186 and 344,637,086,164

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Solution

The third proportional to 157,109,900,186 and 344,637,086,164 is: 755,997,687,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109,900,186 : 344,637,086,164 = 344,637,086,164 : x
  2. Step 2: Convert to fraction form
    157,109,900,186/344,637,086,164 = 344,637,086,164/x
  3. Step 3: Cross multiply
    157,109,900,186x = 344,637,086,164 × 344,637,086,164
  4. Step 4: Simplify right side
    157,109,900,186x = 118,774,721,159,612,357,148,672
  5. Step 5: Solve for x
    x = 118,774,721,159,612,357,148,672/157,109,900,186
  6. Step 6: Final answer
    x = 755,997,687,090.35

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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.