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Finding the Third Proportional to 174,343,555,258 and 249,311,580,915

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Solution

The third proportional to 174,343,555,258 and 249,311,580,915 is: 356,515,985,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,343,555,258 : 249,311,580,915 = 249,311,580,915 : x
  2. Step 2: Convert to fraction form
    174,343,555,258/249,311,580,915 = 249,311,580,915/x
  3. Step 3: Cross multiply
    174,343,555,258x = 249,311,580,915 × 249,311,580,915
  4. Step 4: Simplify right side
    174,343,555,258x = 62,156,264,378,336,590,954,496
  5. Step 5: Solve for x
    x = 62,156,264,378,336,590,954,496/174,343,555,258
  6. Step 6: Final answer
    x = 356,515,985,270.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.