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Finding the Third Proportional to 140,905,714.50 and 291,477,012.75

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Solution

The third proportional to 140,905,714.50 and 291,477,012.75 is: 602,948,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,905,714.50 : 291,477,012.75 = 291,477,012.75 : x
  2. Step 2: Convert to fraction form
    140,905,714.50/291,477,012.75 = 291,477,012.75/x
  3. Step 3: Cross multiply
    140,905,714.50x = 291,477,012.75 × 291,477,012.75
  4. Step 4: Simplify right side
    140,905,714.50x = 84,958,848,961,663,664
  5. Step 5: Solve for x
    x = 84,958,848,961,663,664/140,905,714.50
  6. Step 6: Final answer
    x = 602,948,214.44

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.