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Finding the Third Proportional to 102,109,678,608 and 156,852,968,472

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Solution

The third proportional to 102,109,678,608 and 156,852,968,472 is: 240,945,364,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,109,678,608 : 156,852,968,472 = 156,852,968,472 : x
  2. Step 2: Convert to fraction form
    102,109,678,608/156,852,968,472 = 156,852,968,472/x
  3. Step 3: Cross multiply
    102,109,678,608x = 156,852,968,472 × 156,852,968,472
  4. Step 4: Simplify right side
    102,109,678,608x = 24,602,853,718,478,225,932,288
  5. Step 5: Solve for x
    x = 24,602,853,718,478,225,932,288/102,109,678,608
  6. Step 6: Final answer
    x = 240,945,364,375.58

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