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Finding the Third Proportional to 245,470,573.50 and 381,114,451.50

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Solution

The third proportional to 245,470,573.50 and 381,114,451.50 is: 591,713,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,470,573.50 : 381,114,451.50 = 381,114,451.50 : x
  2. Step 2: Convert to fraction form
    245,470,573.50/381,114,451.50 = 381,114,451.50/x
  3. Step 3: Cross multiply
    245,470,573.50x = 381,114,451.50 × 381,114,451.50
  4. Step 4: Simplify right side
    245,470,573.50x = 145,248,225,142,145,856
  5. Step 5: Solve for x
    x = 145,248,225,142,145,856/245,470,573.50
  6. Step 6: Final answer
    x = 591,713,389.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.