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Finding the Third Proportional to 101,993,210,181 and 218,314,042,141.50

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Solution

The third proportional to 101,993,210,181 and 218,314,042,141.50 is: 467,296,018,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993,210,181 : 218,314,042,141.50 = 218,314,042,141.50 : x
  2. Step 2: Convert to fraction form
    101,993,210,181/218,314,042,141.50 = 218,314,042,141.50/x
  3. Step 3: Cross multiply
    101,993,210,181x = 218,314,042,141.50 × 218,314,042,141.50
  4. Step 4: Simplify right side
    101,993,210,181x = 47,661,020,996,160,637,108,224
  5. Step 5: Solve for x
    x = 47,661,020,996,160,637,108,224/101,993,210,181
  6. Step 6: Final answer
    x = 467,296,018,152.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.