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Finding the Third Proportional to 85,043,151,903 and 182,216,547,504

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Solution

The third proportional to 85,043,151,903 and 182,216,547,504 is: 390,423,795,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043,151,903 : 182,216,547,504 = 182,216,547,504 : x
  2. Step 2: Convert to fraction form
    85,043,151,903/182,216,547,504 = 182,216,547,504/x
  3. Step 3: Cross multiply
    85,043,151,903x = 182,216,547,504 × 182,216,547,504
  4. Step 4: Simplify right side
    85,043,151,903x = 33,202,870,184,277,486,600,192
  5. Step 5: Solve for x
    x = 33,202,870,184,277,486,600,192/85,043,151,903
  6. Step 6: Final answer
    x = 390,423,795,935.37

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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.