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Finding the Third Proportional to 75,710,705.06 and 164,707,435.13

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Solution

The third proportional to 75,710,705.06 and 164,707,435.13 is: 358,318,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710,705.06 : 164,707,435.13 = 164,707,435.13 : x
  2. Step 2: Convert to fraction form
    75,710,705.06/164,707,435.13 = 164,707,435.13/x
  3. Step 3: Cross multiply
    75,710,705.06x = 164,707,435.13 × 164,707,435.13
  4. Step 4: Simplify right side
    75,710,705.06x = 27,128,539,185,456,084
  5. Step 5: Solve for x
    x = 27,128,539,185,456,084/75,710,705.06
  6. Step 6: Final answer
    x = 358,318,406.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.