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Finding the Third Proportional to 308,620,540.13 and 470,166,089.63

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Solution

The third proportional to 308,620,540.13 and 470,166,089.63 is: 716,271,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,620,540.13 : 470,166,089.63 = 470,166,089.63 : x
  2. Step 2: Convert to fraction form
    308,620,540.13/470,166,089.63 = 470,166,089.63/x
  3. Step 3: Cross multiply
    308,620,540.13x = 470,166,089.63 × 470,166,089.63
  4. Step 4: Simplify right side
    308,620,540.13x = 221,056,151,833,263,520
  5. Step 5: Solve for x
    x = 221,056,151,833,263,520/308,620,540.13
  6. Step 6: Final answer
    x = 716,271,677.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.