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Finding the Third Proportional to 263,961,641.44 and 359,470,700.63

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Solution

The third proportional to 263,961,641.44 and 359,470,700.63 is: 489,537,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,961,641.44 : 359,470,700.63 = 359,470,700.63 : x
  2. Step 2: Convert to fraction form
    263,961,641.44/359,470,700.63 = 359,470,700.63/x
  3. Step 3: Cross multiply
    263,961,641.44x = 359,470,700.63 × 359,470,700.63
  4. Step 4: Simplify right side
    263,961,641.44x = 129,219,184,607,828,368
  5. Step 5: Solve for x
    x = 129,219,184,607,828,368/263,961,641.44
  6. Step 6: Final answer
    x = 489,537,737.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.