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Finding the Third Proportional to 235,338,463.13 and 513,051,094.13

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Solution

The third proportional to 235,338,463.13 and 513,051,094.13 is: 1,118,480,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,338,463.13 : 513,051,094.13 = 513,051,094.13 : x
  2. Step 2: Convert to fraction form
    235,338,463.13/513,051,094.13 = 513,051,094.13/x
  3. Step 3: Cross multiply
    235,338,463.13x = 513,051,094.13 × 513,051,094.13
  4. Step 4: Simplify right side
    235,338,463.13x = 263,221,425,182,859,616
  5. Step 5: Solve for x
    x = 263,221,425,182,859,616/235,338,463.13
  6. Step 6: Final answer
    x = 1,118,480,258.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.