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Finding the Third Proportional to 102,692,536.50 and 228,345,655.50

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Solution

The third proportional to 102,692,536.50 and 228,345,655.50 is: 507,746,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692,536.50 : 228,345,655.50 = 228,345,655.50 : x
  2. Step 2: Convert to fraction form
    102,692,536.50/228,345,655.50 = 228,345,655.50/x
  3. Step 3: Cross multiply
    102,692,536.50x = 228,345,655.50 × 228,345,655.50
  4. Step 4: Simplify right side
    102,692,536.50x = 52,141,738,385,724,680
  5. Step 5: Solve for x
    x = 52,141,738,385,724,680/102,692,536.50
  6. Step 6: Final answer
    x = 507,746,133.88

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.