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Finding the Third Proportional to 139,720,962,592 and 303,922,514,984

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Solution

The third proportional to 139,720,962,592 and 303,922,514,984 is: 661,095,467,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720,962,592 : 303,922,514,984 = 303,922,514,984 : x
  2. Step 2: Convert to fraction form
    139,720,962,592/303,922,514,984 = 303,922,514,984/x
  3. Step 3: Cross multiply
    139,720,962,592x = 303,922,514,984 × 303,922,514,984
  4. Step 4: Simplify right side
    139,720,962,592x = 92,368,895,114,199,703,748,608
  5. Step 5: Solve for x
    x = 92,368,895,114,199,703,748,608/139,720,962,592
  6. Step 6: Final answer
    x = 661,095,467,713.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.