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Finding the Third Proportional to 157,372,884,116 and 241,743,999,380

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Solution

The third proportional to 157,372,884,116 and 241,743,999,380 is: 371,348,352,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,372,884,116 : 241,743,999,380 = 241,743,999,380 : x
  2. Step 2: Convert to fraction form
    157,372,884,116/241,743,999,380 = 241,743,999,380/x
  3. Step 3: Cross multiply
    157,372,884,116x = 241,743,999,380 × 241,743,999,380
  4. Step 4: Simplify right side
    157,372,884,116x = 58,440,161,236,237,437,370,368
  5. Step 5: Solve for x
    x = 58,440,161,236,237,437,370,368/157,372,884,116
  6. Step 6: Final answer
    x = 371,348,352,446.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.