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Finding the Third Proportional to 221,852,014.50 and 346,208,545.50

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Solution

The third proportional to 221,852,014.50 and 346,208,545.50 is: 540,271,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,852,014.50 : 346,208,545.50 = 346,208,545.50 : x
  2. Step 2: Convert to fraction form
    221,852,014.50/346,208,545.50 = 346,208,545.50/x
  3. Step 3: Cross multiply
    221,852,014.50x = 346,208,545.50 × 346,208,545.50
  4. Step 4: Simplify right side
    221,852,014.50x = 119,860,356,977,225,568
  5. Step 5: Solve for x
    x = 119,860,356,977,225,568/221,852,014.50
  6. Step 6: Final answer
    x = 540,271,663.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.