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Finding the Third Proportional to 142,219,275,169 and 205,482,293,043

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Solution

The third proportional to 142,219,275,169 and 205,482,293,043 is: 296,886,429,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,219,275,169 : 205,482,293,043 = 205,482,293,043 : x
  2. Step 2: Convert to fraction form
    142,219,275,169/205,482,293,043 = 205,482,293,043/x
  3. Step 3: Cross multiply
    142,219,275,169x = 205,482,293,043 × 205,482,293,043
  4. Step 4: Simplify right side
    142,219,275,169x = 42,222,972,754,209,324,138,496
  5. Step 5: Solve for x
    x = 42,222,972,754,209,324,138,496/142,219,275,169
  6. Step 6: Final answer
    x = 296,886,429,100.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.