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Finding the Third Proportional to 102,046,291 and 157,063,598

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Solution

The third proportional to 102,046,291 and 157,063,598 is: 241,742,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,046,291 : 157,063,598 = 157,063,598 : x
  2. Step 2: Convert to fraction form
    102,046,291/157,063,598 = 157,063,598/x
  3. Step 3: Cross multiply
    102,046,291x = 157,063,598 × 157,063,598
  4. Step 4: Simplify right side
    102,046,291x = 24,668,973,816,705,604
  5. Step 5: Solve for x
    x = 24,668,973,816,705,604/102,046,291
  6. Step 6: Final answer
    x = 241,742,973.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.