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Finding the Third Proportional to 258,854,509.50 and 349,843,045.50

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Solution

The third proportional to 258,854,509.50 and 349,843,045.50 is: 472,814,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,854,509.50 : 349,843,045.50 = 349,843,045.50 : x
  2. Step 2: Convert to fraction form
    258,854,509.50/349,843,045.50 = 349,843,045.50/x
  3. Step 3: Cross multiply
    258,854,509.50x = 349,843,045.50 × 349,843,045.50
  4. Step 4: Simplify right side
    258,854,509.50x = 122,390,156,484,715,072
  5. Step 5: Solve for x
    x = 122,390,156,484,715,072/258,854,509.50
  6. Step 6: Final answer
    x = 472,814,465.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.