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Finding the Third Proportional to 145,257,510.38 and 311,237,911.88

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Solution

The third proportional to 145,257,510.38 and 311,237,911.88 is: 666,877,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,257,510.38 : 311,237,911.88 = 311,237,911.88 : x
  2. Step 2: Convert to fraction form
    145,257,510.38/311,237,911.88 = 311,237,911.88/x
  3. Step 3: Cross multiply
    145,257,510.38x = 311,237,911.88 × 311,237,911.88
  4. Step 4: Simplify right side
    145,257,510.38x = 96,869,037,788,310,272
  5. Step 5: Solve for x
    x = 96,869,037,788,310,272/145,257,510.38
  6. Step 6: Final answer
    x = 666,877,998.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.