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Finding the Third Proportional to 223,881,054 and 484,433,730

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Solution

The third proportional to 223,881,054 and 484,433,730 is: 1,048,217,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,881,054 : 484,433,730 = 484,433,730 : x
  2. Step 2: Convert to fraction form
    223,881,054/484,433,730 = 484,433,730/x
  3. Step 3: Cross multiply
    223,881,054x = 484,433,730 × 484,433,730
  4. Step 4: Simplify right side
    223,881,054x = 234,676,038,761,712,896
  5. Step 5: Solve for x
    x = 234,676,038,761,712,896/223,881,054
  6. Step 6: Final answer
    x = 1,048,217,500.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.