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Finding the Third Proportional to 85,006,629,206 and 186,026,717,358

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Solution

The third proportional to 85,006,629,206 and 186,026,717,358 is: 407,096,951,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,006,629,206 : 186,026,717,358 = 186,026,717,358 : x
  2. Step 2: Convert to fraction form
    85,006,629,206/186,026,717,358 = 186,026,717,358/x
  3. Step 3: Cross multiply
    85,006,629,206x = 186,026,717,358 × 186,026,717,358
  4. Step 4: Simplify right side
    85,006,629,206x = 34,605,939,570,993,220,550,656
  5. Step 5: Solve for x
    x = 34,605,939,570,993,220,550,656/85,006,629,206
  6. Step 6: Final answer
    x = 407,096,951,075.80

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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.