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Finding the Third Proportional to 223,618,802.25 and 478,326,897.75

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Solution

The third proportional to 223,618,802.25 and 478,326,897.75 is: 1,023,154,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,618,802.25 : 478,326,897.75 = 478,326,897.75 : x
  2. Step 2: Convert to fraction form
    223,618,802.25/478,326,897.75 = 478,326,897.75/x
  3. Step 3: Cross multiply
    223,618,802.25x = 478,326,897.75 × 478,326,897.75
  4. Step 4: Simplify right side
    223,618,802.25x = 228,796,621,111,138,944
  5. Step 5: Solve for x
    x = 228,796,621,111,138,944/223,618,802.25
  6. Step 6: Final answer
    x = 1,023,154,666.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.