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Finding the Third Proportional to 165,763,710.56 and 360,935,577.28

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Solution

The third proportional to 165,763,710.56 and 360,935,577.28 is: 785,904,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,763,710.56 : 360,935,577.28 = 360,935,577.28 : x
  2. Step 2: Convert to fraction form
    165,763,710.56/360,935,577.28 = 360,935,577.28/x
  3. Step 3: Cross multiply
    165,763,710.56x = 360,935,577.28 × 360,935,577.28
  4. Step 4: Simplify right side
    165,763,710.56x = 130,274,490,947,349,184
  5. Step 5: Solve for x
    x = 130,274,490,947,349,184/165,763,710.56
  6. Step 6: Final answer
    x = 785,904,770.74

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