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Finding the Third Proportional to 139,072,594,113.78 and 301,249,391,212.20

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Solution

The third proportional to 139,072,594,113.78 and 301,249,391,212.20 is: 652,545,501,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,072,594,113.78 : 301,249,391,212.20 = 301,249,391,212.20 : x
  2. Step 2: Convert to fraction form
    139,072,594,113.78/301,249,391,212.20 = 301,249,391,212.20/x
  3. Step 3: Cross multiply
    139,072,594,113.78x = 301,249,391,212.20 × 301,249,391,212.20
  4. Step 4: Simplify right side
    139,072,594,113.78x = 90,751,195,705,721,128,747,008
  5. Step 5: Solve for x
    x = 90,751,195,705,721,128,747,008/139,072,594,113.78
  6. Step 6: Final answer
    x = 652,545,501,750.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.