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Finding the Third Proportional to 228,112,008 and 468,316,810.50

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Solution

The third proportional to 228,112,008 and 468,316,810.50 is: 961,460,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,112,008 : 468,316,810.50 = 468,316,810.50 : x
  2. Step 2: Convert to fraction form
    228,112,008/468,316,810.50 = 468,316,810.50/x
  3. Step 3: Cross multiply
    228,112,008x = 468,316,810.50 × 468,316,810.50
  4. Step 4: Simplify right side
    228,112,008x = 219,320,634,996,892,896
  5. Step 5: Solve for x
    x = 219,320,634,996,892,896/228,112,008
  6. Step 6: Final answer
    x = 961,460,279.62

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.