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Finding the Third Proportional to 149,886,730.13 and 346,966,171.31

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Solution

The third proportional to 149,886,730.13 and 346,966,171.31 is: 803,176,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886,730.13 : 346,966,171.31 = 346,966,171.31 : x
  2. Step 2: Convert to fraction form
    149,886,730.13/346,966,171.31 = 346,966,171.31/x
  3. Step 3: Cross multiply
    149,886,730.13x = 346,966,171.31 × 346,966,171.31
  4. Step 4: Simplify right side
    149,886,730.13x = 120,385,524,035,255,104
  5. Step 5: Solve for x
    x = 120,385,524,035,255,104/149,886,730.13
  6. Step 6: Final answer
    x = 803,176,665.04

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.