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Finding the Third Proportional to 166,095,056.25 and 363,470,090.06

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Solution

The third proportional to 166,095,056.25 and 363,470,090.06 is: 795,390,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,095,056.25 : 363,470,090.06 = 363,470,090.06 : x
  2. Step 2: Convert to fraction form
    166,095,056.25/363,470,090.06 = 363,470,090.06/x
  3. Step 3: Cross multiply
    166,095,056.25x = 363,470,090.06 × 363,470,090.06
  4. Step 4: Simplify right side
    166,095,056.25x = 132,110,506,370,041,856
  5. Step 5: Solve for x
    x = 132,110,506,370,041,856/166,095,056.25
  6. Step 6: Final answer
    x = 795,390,960.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.