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Finding the Third Proportional to 104,862,009 and 162,813,970.50

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Solution

The third proportional to 104,862,009 and 162,813,970.50 is: 252,793,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,862,009 : 162,813,970.50 = 162,813,970.50 : x
  2. Step 2: Convert to fraction form
    104,862,009/162,813,970.50 = 162,813,970.50/x
  3. Step 3: Cross multiply
    104,862,009x = 162,813,970.50 × 162,813,970.50
  4. Step 4: Simplify right side
    104,862,009x = 26,508,388,989,974,872
  5. Step 5: Solve for x
    x = 26,508,388,989,974,872/104,862,009
  6. Step 6: Final answer
    x = 252,793,068.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.