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Finding the Third Proportional to 147,801,064.50 and 207,872,308.50

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Solution

The third proportional to 147,801,064.50 and 207,872,308.50 is: 292,358,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,801,064.50 : 207,872,308.50 = 207,872,308.50 : x
  2. Step 2: Convert to fraction form
    147,801,064.50/207,872,308.50 = 207,872,308.50/x
  3. Step 3: Cross multiply
    147,801,064.50x = 207,872,308.50 × 207,872,308.50
  4. Step 4: Simplify right side
    147,801,064.50x = 43,210,896,641,119,176
  5. Step 5: Solve for x
    x = 43,210,896,641,119,176/147,801,064.50
  6. Step 6: Final answer
    x = 292,358,494.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.