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Finding the Third Proportional to 85,043,151,904 and 182,216,547,506

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Solution

The third proportional to 85,043,151,904 and 182,216,547,506 is: 390,423,795,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043,151,904 : 182,216,547,506 = 182,216,547,506 : x
  2. Step 2: Convert to fraction form
    85,043,151,904/182,216,547,506 = 182,216,547,506/x
  3. Step 3: Cross multiply
    85,043,151,904x = 182,216,547,506 × 182,216,547,506
  4. Step 4: Simplify right side
    85,043,151,904x = 33,202,870,185,006,355,972,096
  5. Step 5: Solve for x
    x = 33,202,870,185,006,355,972,096/85,043,151,904
  6. Step 6: Final answer
    x = 390,423,795,939.35

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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.