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Finding the Third Proportional to 228,111,747 and 468,316,390.50

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Solution

The third proportional to 228,111,747 and 468,316,390.50 is: 961,459,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,111,747 : 468,316,390.50 = 468,316,390.50 : x
  2. Step 2: Convert to fraction form
    228,111,747/468,316,390.50 = 468,316,390.50/x
  3. Step 3: Cross multiply
    228,111,747x = 468,316,390.50 × 468,316,390.50
  4. Step 4: Simplify right side
    228,111,747x = 219,320,241,610,948,480
  5. Step 5: Solve for x
    x = 219,320,241,610,948,480/228,111,747
  6. Step 6: Final answer
    x = 961,459,655.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.