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Finding the Third Proportional to 145,620,301.50 and 312,852,529.41

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Solution

The third proportional to 145,620,301.50 and 312,852,529.41 is: 672,136,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,620,301.50 : 312,852,529.41 = 312,852,529.41 : x
  2. Step 2: Convert to fraction form
    145,620,301.50/312,852,529.41 = 312,852,529.41/x
  3. Step 3: Cross multiply
    145,620,301.50x = 312,852,529.41 × 312,852,529.41
  4. Step 4: Simplify right side
    145,620,301.50x = 97,876,705,155,888,528
  5. Step 5: Solve for x
    x = 97,876,705,155,888,528/145,620,301.50
  6. Step 6: Final answer
    x = 672,136,399.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.