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Finding the Third Proportional to 226,828,824.75 and 350,316,742.50

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Solution

The third proportional to 226,828,824.75 and 350,316,742.50 is: 541,032,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,828,824.75 : 350,316,742.50 = 350,316,742.50 : x
  2. Step 2: Convert to fraction form
    226,828,824.75/350,316,742.50 = 350,316,742.50/x
  3. Step 3: Cross multiply
    226,828,824.75x = 350,316,742.50 × 350,316,742.50
  4. Step 4: Simplify right side
    226,828,824.75x = 122,721,820,075,811,312
  5. Step 5: Solve for x
    x = 122,721,820,075,811,312/226,828,824.75
  6. Step 6: Final answer
    x = 541,032,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.