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Finding the Third Proportional to 229,853,710,206 and 537,041,981,358

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Solution

The third proportional to 229,853,710,206 and 537,041,981,358 is: 1,254,772,391,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853,710,206 : 537,041,981,358 = 537,041,981,358 : x
  2. Step 2: Convert to fraction form
    229,853,710,206/537,041,981,358 = 537,041,981,358/x
  3. Step 3: Cross multiply
    229,853,710,206x = 537,041,981,358 × 537,041,981,358
  4. Step 4: Simplify right side
    229,853,710,206x = 288,414,089,740,926,406,623,232
  5. Step 5: Solve for x
    x = 288,414,089,740,926,406,623,232/229,853,710,206
  6. Step 6: Final answer
    x = 1,254,772,391,894.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.