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Finding the Third Proportional to 217,715,075,292 and 302,715,409,806

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Solution

The third proportional to 217,715,075,292 and 302,715,409,806 is: 420,901,580,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,715,075,292 : 302,715,409,806 = 302,715,409,806 : x
  2. Step 2: Convert to fraction form
    217,715,075,292/302,715,409,806 = 302,715,409,806/x
  3. Step 3: Cross multiply
    217,715,075,292x = 302,715,409,806 × 302,715,409,806
  4. Step 4: Simplify right side
    217,715,075,292x = 91,636,619,334,014,518,427,648
  5. Step 5: Solve for x
    x = 91,636,619,334,014,518,427,648/217,715,075,292
  6. Step 6: Final answer
    x = 420,901,580,706.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.