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Finding the Third Proportional to 114,737,657.06 and 245,846,705.06

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Solution

The third proportional to 114,737,657.06 and 245,846,705.06 is: 526,772,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,737,657.06 : 245,846,705.06 = 245,846,705.06 : x
  2. Step 2: Convert to fraction form
    114,737,657.06/245,846,705.06 = 245,846,705.06/x
  3. Step 3: Cross multiply
    114,737,657.06x = 245,846,705.06 × 245,846,705.06
  4. Step 4: Simplify right side
    114,737,657.06x = 60,440,602,390,087,864
  5. Step 5: Solve for x
    x = 60,440,602,390,087,864/114,737,657.06
  6. Step 6: Final answer
    x = 526,772,150.81

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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.