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Finding the Third Proportional to 85,043,151,906 and 182,216,547,510

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Solution

The third proportional to 85,043,151,906 and 182,216,547,510 is: 390,423,795,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043,151,906 : 182,216,547,510 = 182,216,547,510 : x
  2. Step 2: Convert to fraction form
    85,043,151,906/182,216,547,510 = 182,216,547,510/x
  3. Step 3: Cross multiply
    85,043,151,906x = 182,216,547,510 × 182,216,547,510
  4. Step 4: Simplify right side
    85,043,151,906x = 33,202,870,186,464,086,327,296
  5. Step 5: Solve for x
    x = 33,202,870,186,464,086,327,296/85,043,151,906
  6. Step 6: Final answer
    x = 390,423,795,947.31

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