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Finding the Third Proportional to 176,621,730,933 and 385,210,136,368

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Solution

The third proportional to 176,621,730,933 and 385,210,136,368 is: 840,139,253,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,621,730,933 : 385,210,136,368 = 385,210,136,368 : x
  2. Step 2: Convert to fraction form
    176,621,730,933/385,210,136,368 = 385,210,136,368/x
  3. Step 3: Cross multiply
    176,621,730,933x = 385,210,136,368 × 385,210,136,368
  4. Step 4: Simplify right side
    176,621,730,933x = 148,386,849,160,653,157,957,632
  5. Step 5: Solve for x
    x = 148,386,849,160,653,157,957,632/176,621,730,933
  6. Step 6: Final answer
    x = 840,139,253,402.19

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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.